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Finding the Third Proportional to 78,732 and 125,334

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Solution

The third proportional to 78,732 and 125,334 is: 199,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732 : 125,334 = 125,334 : x
  2. Step 2: Convert to fraction form
    78,732/125,334 = 125,334/x
  3. Step 3: Cross multiply
    78,732x = 125,334 × 125,334
  4. Step 4: Simplify right side
    78,732x = 15,708,611,556
  5. Step 5: Solve for x
    x = 15,708,611,556/78,732
  6. Step 6: Final answer
    x = 199,520.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.