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Finding the Third Proportional to 113,922 and 183,033

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Solution

The third proportional to 113,922 and 183,033 is: 294,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,922 : 183,033 = 183,033 : x
  2. Step 2: Convert to fraction form
    113,922/183,033 = 183,033/x
  3. Step 3: Cross multiply
    113,922x = 183,033 × 183,033
  4. Step 4: Simplify right side
    113,922x = 33,501,079,089
  5. Step 5: Solve for x
    x = 33,501,079,089/113,922
  6. Step 6: Final answer
    x = 294,070.32

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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.