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Finding the Third Proportional to 58,681 and 126,715

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Solution

The third proportional to 58,681 and 126,715 is: 273,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,681 : 126,715 = 126,715 : x
  2. Step 2: Convert to fraction form
    58,681/126,715 = 126,715/x
  3. Step 3: Cross multiply
    58,681x = 126,715 × 126,715
  4. Step 4: Simplify right side
    58,681x = 16,056,691,225
  5. Step 5: Solve for x
    x = 16,056,691,225/58,681
  6. Step 6: Final answer
    x = 273,626.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.