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Finding the Third Proportional to 130,860 and 176,566

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Solution

The third proportional to 130,860 and 176,566 is: 238,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,860 : 176,566 = 176,566 : x
  2. Step 2: Convert to fraction form
    130,860/176,566 = 176,566/x
  3. Step 3: Cross multiply
    130,860x = 176,566 × 176,566
  4. Step 4: Simplify right side
    130,860x = 31,175,552,356
  5. Step 5: Solve for x
    x = 31,175,552,356/130,860
  6. Step 6: Final answer
    x = 238,235.92

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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.