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Finding the Third Proportional to 112,952.25 and 165,654

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Solution

The third proportional to 112,952.25 and 165,654 is: 242,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,952.25 : 165,654 = 165,654 : x
  2. Step 2: Convert to fraction form
    112,952.25/165,654 = 165,654/x
  3. Step 3: Cross multiply
    112,952.25x = 165,654 × 165,654
  4. Step 4: Simplify right side
    112,952.25x = 27,441,247,716
  5. Step 5: Solve for x
    x = 27,441,247,716/112,952.25
  6. Step 6: Final answer
    x = 242,945.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.