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Finding the Third Proportional to 113,920.25 and 183,030.50

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Solution

The third proportional to 113,920.25 and 183,030.50 is: 294,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,920.25 : 183,030.50 = 183,030.50 : x
  2. Step 2: Convert to fraction form
    113,920.25/183,030.50 = 183,030.50/x
  3. Step 3: Cross multiply
    113,920.25x = 183,030.50 × 183,030.50
  4. Step 4: Simplify right side
    113,920.25x = 33,500,163,930.25
  5. Step 5: Solve for x
    x = 33,500,163,930.25/113,920.25
  6. Step 6: Final answer
    x = 294,066.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.