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Finding the Third Proportional to 42,927.75 and 89,773.88

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Solution

The third proportional to 42,927.75 and 89,773.88 is: 187,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927.75 : 89,773.88 = 89,773.88 : x
  2. Step 2: Convert to fraction form
    42,927.75/89,773.88 = 89,773.88/x
  3. Step 3: Cross multiply
    42,927.75x = 89,773.88 × 89,773.88
  4. Step 4: Simplify right side
    42,927.75x = 8,059,348,632.52
  5. Step 5: Solve for x
    x = 8,059,348,632.52/42,927.75
  6. Step 6: Final answer
    x = 187,742.16

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.