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Finding the Third Proportional to 95,784 and 151,598

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Solution

The third proportional to 95,784 and 151,598 is: 239,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,784 : 151,598 = 151,598 : x
  2. Step 2: Convert to fraction form
    95,784/151,598 = 151,598/x
  3. Step 3: Cross multiply
    95,784x = 151,598 × 151,598
  4. Step 4: Simplify right side
    95,784x = 22,981,953,604
  5. Step 5: Solve for x
    x = 22,981,953,604/95,784
  6. Step 6: Final answer
    x = 239,935.20

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Why These Related Problems?

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