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Finding the Third Proportional to 62,833.50 and 135,505.13

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Solution

The third proportional to 62,833.50 and 135,505.13 is: 292,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,833.50 : 135,505.13 = 135,505.13 : x
  2. Step 2: Convert to fraction form
    62,833.50/135,505.13 = 135,505.13/x
  3. Step 3: Cross multiply
    62,833.50x = 135,505.13 × 135,505.13
  4. Step 4: Simplify right side
    62,833.50x = 18,361,638,901.27
  5. Step 5: Solve for x
    x = 18,361,638,901.27/62,833.50
  6. Step 6: Final answer
    x = 292,226.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.