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Finding the Third Proportional to 71,694 and 111,237

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Solution

The third proportional to 71,694 and 111,237 is: 172,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694 : 111,237 = 111,237 : x
  2. Step 2: Convert to fraction form
    71,694/111,237 = 111,237/x
  3. Step 3: Cross multiply
    71,694x = 111,237 × 111,237
  4. Step 4: Simplify right side
    71,694x = 12,373,670,169
  5. Step 5: Solve for x
    x = 12,373,670,169/71,694
  6. Step 6: Final answer
    x = 172,590.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.