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Finding the Third Proportional to 78,468.75 and 169,512.75

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Solution

The third proportional to 78,468.75 and 169,512.75 is: 366,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.75 : 169,512.75 = 169,512.75 : x
  2. Step 2: Convert to fraction form
    78,468.75/169,512.75 = 169,512.75/x
  3. Step 3: Cross multiply
    78,468.75x = 169,512.75 × 169,512.75
  4. Step 4: Simplify right side
    78,468.75x = 28,734,572,412.56
  5. Step 5: Solve for x
    x = 28,734,572,412.56/78,468.75
  6. Step 6: Final answer
    x = 366,191.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.