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Finding the Third Proportional to 108,701 and 142,941

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Solution

The third proportional to 108,701 and 142,941 is: 187,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,701 : 142,941 = 142,941 : x
  2. Step 2: Convert to fraction form
    108,701/142,941 = 142,941/x
  3. Step 3: Cross multiply
    108,701x = 142,941 × 142,941
  4. Step 4: Simplify right side
    108,701x = 20,432,129,481
  5. Step 5: Solve for x
    x = 20,432,129,481/108,701
  6. Step 6: Final answer
    x = 187,966.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.