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Finding the Third Proportional to 118,272 and 176,940

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Solution

The third proportional to 118,272 and 176,940 is: 264,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,272 : 176,940 = 176,940 : x
  2. Step 2: Convert to fraction form
    118,272/176,940 = 176,940/x
  3. Step 3: Cross multiply
    118,272x = 176,940 × 176,940
  4. Step 4: Simplify right side
    118,272x = 31,307,763,600
  5. Step 5: Solve for x
    x = 31,307,763,600/118,272
  6. Step 6: Final answer
    x = 264,709.85

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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.