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Finding the Third Proportional to 83,870.44 and 127,752.19

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Solution

The third proportional to 83,870.44 and 127,752.19 is: 194,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,870.44 : 127,752.19 = 127,752.19 : x
  2. Step 2: Convert to fraction form
    83,870.44/127,752.19 = 127,752.19/x
  3. Step 3: Cross multiply
    83,870.44x = 127,752.19 × 127,752.19
  4. Step 4: Simplify right side
    83,870.44x = 16,320,621,411.04
  5. Step 5: Solve for x
    x = 16,320,621,411.04/83,870.44
  6. Step 6: Final answer
    x = 194,593.25

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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.