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Finding the Third Proportional to 96,520 and 151,566

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Solution

The third proportional to 96,520 and 151,566 is: 238,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,520 : 151,566 = 151,566 : x
  2. Step 2: Convert to fraction form
    96,520/151,566 = 151,566/x
  3. Step 3: Cross multiply
    96,520x = 151,566 × 151,566
  4. Step 4: Simplify right side
    96,520x = 22,972,252,356
  5. Step 5: Solve for x
    x = 22,972,252,356/96,520
  6. Step 6: Final answer
    x = 238,005.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.