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Finding the Third Proportional to 134,637.19 and 204,871.78

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Solution

The third proportional to 134,637.19 and 204,871.78 is: 311,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,637.19 : 204,871.78 = 204,871.78 : x
  2. Step 2: Convert to fraction form
    134,637.19/204,871.78 = 204,871.78/x
  3. Step 3: Cross multiply
    134,637.19x = 204,871.78 × 204,871.78
  4. Step 4: Simplify right side
    134,637.19x = 41,972,446,752.55
  5. Step 5: Solve for x
    x = 41,972,446,752.55/134,637.19
  6. Step 6: Final answer
    x = 311,744.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.