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Finding the Third Proportional to 78,552 and 111,061

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Solution

The third proportional to 78,552 and 111,061 is: 157,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,552 : 111,061 = 111,061 : x
  2. Step 2: Convert to fraction form
    78,552/111,061 = 111,061/x
  3. Step 3: Cross multiply
    78,552x = 111,061 × 111,061
  4. Step 4: Simplify right side
    78,552x = 12,334,545,721
  5. Step 5: Solve for x
    x = 12,334,545,721/78,552
  6. Step 6: Final answer
    x = 157,023.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.