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Finding the Third Proportional to 62,349 and 133,559

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Solution

The third proportional to 62,349 and 133,559 is: 286,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,349 : 133,559 = 133,559 : x
  2. Step 2: Convert to fraction form
    62,349/133,559 = 133,559/x
  3. Step 3: Cross multiply
    62,349x = 133,559 × 133,559
  4. Step 4: Simplify right side
    62,349x = 17,838,006,481
  5. Step 5: Solve for x
    x = 17,838,006,481/62,349
  6. Step 6: Final answer
    x = 286,099.32

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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.