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Finding the Third Proportional to 44,662 and 76,065

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Solution

The third proportional to 44,662 and 76,065 is: 129,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,662 : 76,065 = 76,065 : x
  2. Step 2: Convert to fraction form
    44,662/76,065 = 76,065/x
  3. Step 3: Cross multiply
    44,662x = 76,065 × 76,065
  4. Step 4: Simplify right side
    44,662x = 5,785,884,225
  5. Step 5: Solve for x
    x = 5,785,884,225/44,662
  6. Step 6: Final answer
    x = 129,548.26

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.