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Finding the Third Proportional to 83,111.06 and 127,878.75

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Solution

The third proportional to 83,111.06 and 127,878.75 is: 196,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,111.06 : 127,878.75 = 127,878.75 : x
  2. Step 2: Convert to fraction form
    83,111.06/127,878.75 = 127,878.75/x
  3. Step 3: Cross multiply
    83,111.06x = 127,878.75 × 127,878.75
  4. Step 4: Simplify right side
    83,111.06x = 16,352,974,701.56
  5. Step 5: Solve for x
    x = 16,352,974,701.56/83,111.06
  6. Step 6: Final answer
    x = 196,760.51

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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.