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Finding the Third Proportional to 87,411.75 and 187,567.50

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Solution

The third proportional to 87,411.75 and 187,567.50 is: 402,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,411.75 : 187,567.50 = 187,567.50 : x
  2. Step 2: Convert to fraction form
    87,411.75/187,567.50 = 187,567.50/x
  3. Step 3: Cross multiply
    87,411.75x = 187,567.50 × 187,567.50
  4. Step 4: Simplify right side
    87,411.75x = 35,181,567,056.25
  5. Step 5: Solve for x
    x = 35,181,567,056.25/87,411.75
  6. Step 6: Final answer
    x = 402,480.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.