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Finding the Third Proportional to 71,681 and 113,877

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Solution

The third proportional to 71,681 and 113,877 is: 180,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,681 : 113,877 = 113,877 : x
  2. Step 2: Convert to fraction form
    71,681/113,877 = 113,877/x
  3. Step 3: Cross multiply
    71,681x = 113,877 × 113,877
  4. Step 4: Simplify right side
    71,681x = 12,967,971,129
  5. Step 5: Solve for x
    x = 12,967,971,129/71,681
  6. Step 6: Final answer
    x = 180,912.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.