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Finding the Third Proportional to 79,432 and 116,715

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Solution

The third proportional to 79,432 and 116,715 is: 171,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,432 : 116,715 = 116,715 : x
  2. Step 2: Convert to fraction form
    79,432/116,715 = 116,715/x
  3. Step 3: Cross multiply
    79,432x = 116,715 × 116,715
  4. Step 4: Simplify right side
    79,432x = 13,622,391,225
  5. Step 5: Solve for x
    x = 13,622,391,225/79,432
  6. Step 6: Final answer
    x = 171,497.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.