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Finding the Third Proportional to 117,952 and 176,496

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Solution

The third proportional to 117,952 and 176,496 is: 264,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,952 : 176,496 = 176,496 : x
  2. Step 2: Convert to fraction form
    117,952/176,496 = 176,496/x
  3. Step 3: Cross multiply
    117,952x = 176,496 × 176,496
  4. Step 4: Simplify right side
    117,952x = 31,150,838,016
  5. Step 5: Solve for x
    x = 31,150,838,016/117,952
  6. Step 6: Final answer
    x = 264,097.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.