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Finding the Third Proportional to 47,772 and 71,334

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Solution

The third proportional to 47,772 and 71,334 is: 106,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772 : 71,334 = 71,334 : x
  2. Step 2: Convert to fraction form
    47,772/71,334 = 71,334/x
  3. Step 3: Cross multiply
    47,772x = 71,334 × 71,334
  4. Step 4: Simplify right side
    47,772x = 5,088,539,556
  5. Step 5: Solve for x
    x = 5,088,539,556/47,772
  6. Step 6: Final answer
    x = 106,517.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.