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Finding the Third Proportional to 85,252.50 and 129,062.25

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Solution

The third proportional to 85,252.50 and 129,062.25 is: 195,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,252.50 : 129,062.25 = 129,062.25 : x
  2. Step 2: Convert to fraction form
    85,252.50/129,062.25 = 129,062.25/x
  3. Step 3: Cross multiply
    85,252.50x = 129,062.25 × 129,062.25
  4. Step 4: Simplify right side
    85,252.50x = 16,657,064,375.06
  5. Step 5: Solve for x
    x = 16,657,064,375.06/85,252.50
  6. Step 6: Final answer
    x = 195,385.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.