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Finding the Third Proportional to 87,405.75 and 191,153.25

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Solution

The third proportional to 87,405.75 and 191,153.25 is: 418,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,405.75 : 191,153.25 = 191,153.25 : x
  2. Step 2: Convert to fraction form
    87,405.75/191,153.25 = 191,153.25/x
  3. Step 3: Cross multiply
    87,405.75x = 191,153.25 × 191,153.25
  4. Step 4: Simplify right side
    87,405.75x = 36,539,564,985.56
  5. Step 5: Solve for x
    x = 36,539,564,985.56/87,405.75
  6. Step 6: Final answer
    x = 418,045.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.