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Finding the Third Proportional to 42,065.58 and 89,963.16

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Solution

The third proportional to 42,065.58 and 89,963.16 is: 192,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.58 : 89,963.16 = 89,963.16 : x
  2. Step 2: Convert to fraction form
    42,065.58/89,963.16 = 89,963.16/x
  3. Step 3: Cross multiply
    42,065.58x = 89,963.16 × 89,963.16
  4. Step 4: Simplify right side
    42,065.58x = 8,093,369,482.46
  5. Step 5: Solve for x
    x = 8,093,369,482.46/42,065.58
  6. Step 6: Final answer
    x = 192,398.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.