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Finding the Third Proportional to 62,407 and 100,534

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Solution

The third proportional to 62,407 and 100,534 is: 161,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,407 : 100,534 = 100,534 : x
  2. Step 2: Convert to fraction form
    62,407/100,534 = 100,534/x
  3. Step 3: Cross multiply
    62,407x = 100,534 × 100,534
  4. Step 4: Simplify right side
    62,407x = 10,107,085,156
  5. Step 5: Solve for x
    x = 10,107,085,156/62,407
  6. Step 6: Final answer
    x = 161,954.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.