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Finding the Third Proportional to 62,301 and 132,757

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Solution

The third proportional to 62,301 and 132,757 is: 282,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,301 : 132,757 = 132,757 : x
  2. Step 2: Convert to fraction form
    62,301/132,757 = 132,757/x
  3. Step 3: Cross multiply
    62,301x = 132,757 × 132,757
  4. Step 4: Simplify right side
    62,301x = 17,624,421,049
  5. Step 5: Solve for x
    x = 17,624,421,049/62,301
  6. Step 6: Final answer
    x = 282,891.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.