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Finding the Third Proportional to 42,713 and 65,122

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Solution

The third proportional to 42,713 and 65,122 is: 99,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713 : 65,122 = 65,122 : x
  2. Step 2: Convert to fraction form
    42,713/65,122 = 65,122/x
  3. Step 3: Cross multiply
    42,713x = 65,122 × 65,122
  4. Step 4: Simplify right side
    42,713x = 4,240,874,884
  5. Step 5: Solve for x
    x = 4,240,874,884/42,713
  6. Step 6: Final answer
    x = 99,287.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.