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Finding the Third Proportional to 44,203.50 and 95,787

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Solution

The third proportional to 44,203.50 and 95,787 is: 207,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,203.50 : 95,787 = 95,787 : x
  2. Step 2: Convert to fraction form
    44,203.50/95,787 = 95,787/x
  3. Step 3: Cross multiply
    44,203.50x = 95,787 × 95,787
  4. Step 4: Simplify right side
    44,203.50x = 9,175,149,369
  5. Step 5: Solve for x
    x = 9,175,149,369/44,203.50
  6. Step 6: Final answer
    x = 207,566.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.