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Finding the Third Proportional to 83,078.75 and 124,586.88

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Solution

The third proportional to 83,078.75 and 124,586.88 is: 186,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.75 : 124,586.88 = 124,586.88 : x
  2. Step 2: Convert to fraction form
    83,078.75/124,586.88 = 124,586.88/x
  3. Step 3: Cross multiply
    83,078.75x = 124,586.88 × 124,586.88
  4. Step 4: Simplify right side
    83,078.75x = 15,521,889,422.27
  5. Step 5: Solve for x
    x = 15,521,889,422.27/83,078.75
  6. Step 6: Final answer
    x = 186,833.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.