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Finding the Third Proportional to 99,717.75 and 148,115.25

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Solution

The third proportional to 99,717.75 and 148,115.25 is: 220,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,717.75 : 148,115.25 = 148,115.25 : x
  2. Step 2: Convert to fraction form
    99,717.75/148,115.25 = 148,115.25/x
  3. Step 3: Cross multiply
    99,717.75x = 148,115.25 × 148,115.25
  4. Step 4: Simplify right side
    99,717.75x = 21,938,127,282.56
  5. Step 5: Solve for x
    x = 21,938,127,282.56/99,717.75
  6. Step 6: Final answer
    x = 220,002.23

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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.