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Finding the Third Proportional to 136,320 and 183,552

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Solution

The third proportional to 136,320 and 183,552 is: 247,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,320 : 183,552 = 183,552 : x
  2. Step 2: Convert to fraction form
    136,320/183,552 = 183,552/x
  3. Step 3: Cross multiply
    136,320x = 183,552 × 183,552
  4. Step 4: Simplify right side
    136,320x = 33,691,336,704
  5. Step 5: Solve for x
    x = 33,691,336,704/136,320
  6. Step 6: Final answer
    x = 247,148.89

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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.