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Finding the Third Proportional to 119,552 and 167,550

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Solution

The third proportional to 119,552 and 167,550 is: 234,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,552 : 167,550 = 167,550 : x
  2. Step 2: Convert to fraction form
    119,552/167,550 = 167,550/x
  3. Step 3: Cross multiply
    119,552x = 167,550 × 167,550
  4. Step 4: Simplify right side
    119,552x = 28,073,002,500
  5. Step 5: Solve for x
    x = 28,073,002,500/119,552
  6. Step 6: Final answer
    x = 234,818.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.