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Finding the Third Proportional to 71,569.69 and 110,874.38

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Solution

The third proportional to 71,569.69 and 110,874.38 is: 171,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569.69 : 110,874.38 = 110,874.38 : x
  2. Step 2: Convert to fraction form
    71,569.69/110,874.38 = 110,874.38/x
  3. Step 3: Cross multiply
    71,569.69x = 110,874.38 × 110,874.38
  4. Step 4: Simplify right side
    71,569.69x = 12,293,127,031.64
  5. Step 5: Solve for x
    x = 12,293,127,031.64/71,569.69
  6. Step 6: Final answer
    x = 171,764.44

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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.