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Finding the Third Proportional to 87,571.13 and 153,454.50

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Solution

The third proportional to 87,571.13 and 153,454.50 is: 268,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,571.13 : 153,454.50 = 153,454.50 : x
  2. Step 2: Convert to fraction form
    87,571.13/153,454.50 = 153,454.50/x
  3. Step 3: Cross multiply
    87,571.13x = 153,454.50 × 153,454.50
  4. Step 4: Simplify right side
    87,571.13x = 23,548,283,570.25
  5. Step 5: Solve for x
    x = 23,548,283,570.25/87,571.13
  6. Step 6: Final answer
    x = 268,904.66

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.