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Finding the Third Proportional to 75,111 and 116,260.50

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Solution

The third proportional to 75,111 and 116,260.50 is: 179,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111 : 116,260.50 = 116,260.50 : x
  2. Step 2: Convert to fraction form
    75,111/116,260.50 = 116,260.50/x
  3. Step 3: Cross multiply
    75,111x = 116,260.50 × 116,260.50
  4. Step 4: Simplify right side
    75,111x = 13,516,503,860.25
  5. Step 5: Solve for x
    x = 13,516,503,860.25/75,111
  6. Step 6: Final answer
    x = 179,953.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.