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Finding the Third Proportional to 62,496 and 100,642

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Solution

The third proportional to 62,496 and 100,642 is: 162,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,496 : 100,642 = 100,642 : x
  2. Step 2: Convert to fraction form
    62,496/100,642 = 100,642/x
  3. Step 3: Cross multiply
    62,496x = 100,642 × 100,642
  4. Step 4: Simplify right side
    62,496x = 10,128,812,164
  5. Step 5: Solve for x
    x = 10,128,812,164/62,496
  6. Step 6: Final answer
    x = 162,071.37

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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.