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Finding the Third Proportional to 95,746 and 151,540

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Solution

The third proportional to 95,746 and 151,540 is: 239,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,746 : 151,540 = 151,540 : x
  2. Step 2: Convert to fraction form
    95,746/151,540 = 151,540/x
  3. Step 3: Cross multiply
    95,746x = 151,540 × 151,540
  4. Step 4: Simplify right side
    95,746x = 22,964,371,600
  5. Step 5: Solve for x
    x = 22,964,371,600/95,746
  6. Step 6: Final answer
    x = 239,846.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.