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Finding the Third Proportional to 83,189.25 and 127,869.75

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Solution

The third proportional to 83,189.25 and 127,869.75 is: 196,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.25 : 127,869.75 = 127,869.75 : x
  2. Step 2: Convert to fraction form
    83,189.25/127,869.75 = 127,869.75/x
  3. Step 3: Cross multiply
    83,189.25x = 127,869.75 × 127,869.75
  4. Step 4: Simplify right side
    83,189.25x = 16,350,672,965.06
  5. Step 5: Solve for x
    x = 16,350,672,965.06/83,189.25
  6. Step 6: Final answer
    x = 196,547.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.