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Finding the Third Proportional to 62,457.75 and 133,839

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Solution

The third proportional to 62,457.75 and 133,839 is: 286,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,457.75 : 133,839 = 133,839 : x
  2. Step 2: Convert to fraction form
    62,457.75/133,839 = 133,839/x
  3. Step 3: Cross multiply
    62,457.75x = 133,839 × 133,839
  4. Step 4: Simplify right side
    62,457.75x = 17,912,877,921
  5. Step 5: Solve for x
    x = 17,912,877,921/62,457.75
  6. Step 6: Final answer
    x = 286,799.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.