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Finding the Third Proportional to 44,660 and 76,062

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Solution

The third proportional to 44,660 and 76,062 is: 129,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,660 : 76,062 = 76,062 : x
  2. Step 2: Convert to fraction form
    44,660/76,062 = 76,062/x
  3. Step 3: Cross multiply
    44,660x = 76,062 × 76,062
  4. Step 4: Simplify right side
    44,660x = 5,785,427,844
  5. Step 5: Solve for x
    x = 5,785,427,844/44,660
  6. Step 6: Final answer
    x = 129,543.84

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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.