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Finding the Third Proportional to 42,741.25 and 98,938.75

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Solution

The third proportional to 42,741.25 and 98,938.75 is: 229,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741.25 : 98,938.75 = 98,938.75 : x
  2. Step 2: Convert to fraction form
    42,741.25/98,938.75 = 98,938.75/x
  3. Step 3: Cross multiply
    42,741.25x = 98,938.75 × 98,938.75
  4. Step 4: Simplify right side
    42,741.25x = 9,788,876,251.56
  5. Step 5: Solve for x
    x = 9,788,876,251.56/42,741.25
  6. Step 6: Final answer
    x = 229,026.44

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.