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Finding the Third Proportional to 114,132 and 165,246

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Solution

The third proportional to 114,132 and 165,246 is: 239,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,132 : 165,246 = 165,246 : x
  2. Step 2: Convert to fraction form
    114,132/165,246 = 165,246/x
  3. Step 3: Cross multiply
    114,132x = 165,246 × 165,246
  4. Step 4: Simplify right side
    114,132x = 27,306,240,516
  5. Step 5: Solve for x
    x = 27,306,240,516/114,132
  6. Step 6: Final answer
    x = 239,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.