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Finding the Third Proportional to 54,720.75 and 78,625.13

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Solution

The third proportional to 54,720.75 and 78,625.13 is: 112,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720.75 : 78,625.13 = 78,625.13 : x
  2. Step 2: Convert to fraction form
    54,720.75/78,625.13 = 78,625.13/x
  3. Step 3: Cross multiply
    54,720.75x = 78,625.13 × 78,625.13
  4. Step 4: Simplify right side
    54,720.75x = 6,181,910,281.27
  5. Step 5: Solve for x
    x = 6,181,910,281.27/54,720.75
  6. Step 6: Final answer
    x = 112,971.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.