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Finding the Third Proportional to 42,253.88 and 89,894.25

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Solution

The third proportional to 42,253.88 and 89,894.25 is: 191,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,253.88 : 89,894.25 = 89,894.25 : x
  2. Step 2: Convert to fraction form
    42,253.88/89,894.25 = 89,894.25/x
  3. Step 3: Cross multiply
    42,253.88x = 89,894.25 × 89,894.25
  4. Step 4: Simplify right side
    42,253.88x = 8,080,976,183.06
  5. Step 5: Solve for x
    x = 8,080,976,183.06/42,253.88
  6. Step 6: Final answer
    x = 191,248.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.