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Finding the Third Proportional to 78,331.50 and 144,087.50

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Solution

The third proportional to 78,331.50 and 144,087.50 is: 265,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,331.50 : 144,087.50 = 144,087.50 : x
  2. Step 2: Convert to fraction form
    78,331.50/144,087.50 = 144,087.50/x
  3. Step 3: Cross multiply
    78,331.50x = 144,087.50 × 144,087.50
  4. Step 4: Simplify right side
    78,331.50x = 20,761,207,656.25
  5. Step 5: Solve for x
    x = 20,761,207,656.25/78,331.50
  6. Step 6: Final answer
    x = 265,042.90

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.