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Finding the Third Proportional to 60,787.50 and 126,407

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Solution

The third proportional to 60,787.50 and 126,407 is: 262,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,787.50 : 126,407 = 126,407 : x
  2. Step 2: Convert to fraction form
    60,787.50/126,407 = 126,407/x
  3. Step 3: Cross multiply
    60,787.50x = 126,407 × 126,407
  4. Step 4: Simplify right side
    60,787.50x = 15,978,729,649
  5. Step 5: Solve for x
    x = 15,978,729,649/60,787.50
  6. Step 6: Final answer
    x = 262,862.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.