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Finding the Third Proportional to 137,657 and 185,749

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Solution

The third proportional to 137,657 and 185,749 is: 250,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,657 : 185,749 = 185,749 : x
  2. Step 2: Convert to fraction form
    137,657/185,749 = 185,749/x
  3. Step 3: Cross multiply
    137,657x = 185,749 × 185,749
  4. Step 4: Simplify right side
    137,657x = 34,502,691,001
  5. Step 5: Solve for x
    x = 34,502,691,001/137,657
  6. Step 6: Final answer
    x = 250,642.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.