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Finding the Third Proportional to 95,411 and 151,545

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Solution

The third proportional to 95,411 and 151,545 is: 240,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,411 : 151,545 = 151,545 : x
  2. Step 2: Convert to fraction form
    95,411/151,545 = 151,545/x
  3. Step 3: Cross multiply
    95,411x = 151,545 × 151,545
  4. Step 4: Simplify right side
    95,411x = 22,965,887,025
  5. Step 5: Solve for x
    x = 22,965,887,025/95,411
  6. Step 6: Final answer
    x = 240,704.81

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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.