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Finding the Third Proportional to 87,641.25 and 143,094.38

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Solution

The third proportional to 87,641.25 and 143,094.38 is: 233,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,641.25 : 143,094.38 = 143,094.38 : x
  2. Step 2: Convert to fraction form
    87,641.25/143,094.38 = 143,094.38/x
  3. Step 3: Cross multiply
    87,641.25x = 143,094.38 × 143,094.38
  4. Step 4: Simplify right side
    87,641.25x = 20,476,000,156.64
  5. Step 5: Solve for x
    x = 20,476,000,156.64/87,641.25
  6. Step 6: Final answer
    x = 233,634.28

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.