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Finding the Third Proportional to 87,550 and 127,497.50

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Solution

The third proportional to 87,550 and 127,497.50 is: 185,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,550 : 127,497.50 = 127,497.50 : x
  2. Step 2: Convert to fraction form
    87,550/127,497.50 = 127,497.50/x
  3. Step 3: Cross multiply
    87,550x = 127,497.50 × 127,497.50
  4. Step 4: Simplify right side
    87,550x = 16,255,612,506.25
  5. Step 5: Solve for x
    x = 16,255,612,506.25/87,550
  6. Step 6: Final answer
    x = 185,672.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.