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Finding the Third Proportional to 71,500.50 and 141,203.25

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Solution

The third proportional to 71,500.50 and 141,203.25 is: 278,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,500.50 : 141,203.25 = 141,203.25 : x
  2. Step 2: Convert to fraction form
    71,500.50/141,203.25 = 141,203.25/x
  3. Step 3: Cross multiply
    71,500.50x = 141,203.25 × 141,203.25
  4. Step 4: Simplify right side
    71,500.50x = 19,938,357,810.56
  5. Step 5: Solve for x
    x = 19,938,357,810.56/71,500.50
  6. Step 6: Final answer
    x = 278,856.20

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.