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Finding the Third Proportional to 62,404 and 133,735

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Solution

The third proportional to 62,404 and 133,735 is: 286,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,404 : 133,735 = 133,735 : x
  2. Step 2: Convert to fraction form
    62,404/133,735 = 133,735/x
  3. Step 3: Cross multiply
    62,404x = 133,735 × 133,735
  4. Step 4: Simplify right side
    62,404x = 17,885,050,225
  5. Step 5: Solve for x
    x = 17,885,050,225/62,404
  6. Step 6: Final answer
    x = 286,601.02

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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.