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Finding the Third Proportional to 71,116.88 and 152,777.25

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Solution

The third proportional to 71,116.88 and 152,777.25 is: 328,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,116.88 : 152,777.25 = 152,777.25 : x
  2. Step 2: Convert to fraction form
    71,116.88/152,777.25 = 152,777.25/x
  3. Step 3: Cross multiply
    71,116.88x = 152,777.25 × 152,777.25
  4. Step 4: Simplify right side
    71,116.88x = 23,340,888,117.56
  5. Step 5: Solve for x
    x = 23,340,888,117.56/71,116.88
  6. Step 6: Final answer
    x = 328,204.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.