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Finding the Third Proportional to 42,437.25 and 93,348.75

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Solution

The third proportional to 42,437.25 and 93,348.75 is: 205,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,437.25 : 93,348.75 = 93,348.75 : x
  2. Step 2: Convert to fraction form
    42,437.25/93,348.75 = 93,348.75/x
  3. Step 3: Cross multiply
    42,437.25x = 93,348.75 × 93,348.75
  4. Step 4: Simplify right side
    42,437.25x = 8,713,989,126.56
  5. Step 5: Solve for x
    x = 8,713,989,126.56/42,437.25
  6. Step 6: Final answer
    x = 205,338.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.