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Finding the Third Proportional to 142,742 and 187,749

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Solution

The third proportional to 142,742 and 187,749 is: 246,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,742 : 187,749 = 187,749 : x
  2. Step 2: Convert to fraction form
    142,742/187,749 = 187,749/x
  3. Step 3: Cross multiply
    142,742x = 187,749 × 187,749
  4. Step 4: Simplify right side
    142,742x = 35,249,687,001
  5. Step 5: Solve for x
    x = 35,249,687,001/142,742
  6. Step 6: Final answer
    x = 246,946.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.