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Finding the Third Proportional to 63,822 and 95,107.50

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Solution

The third proportional to 63,822 and 95,107.50 is: 141,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,822 : 95,107.50 = 95,107.50 : x
  2. Step 2: Convert to fraction form
    63,822/95,107.50 = 95,107.50/x
  3. Step 3: Cross multiply
    63,822x = 95,107.50 × 95,107.50
  4. Step 4: Simplify right side
    63,822x = 9,045,436,556.25
  5. Step 5: Solve for x
    x = 9,045,436,556.25/63,822
  6. Step 6: Final answer
    x = 141,729.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.