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Finding the Third Proportional to 83,840.91 and 124,621.88

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Solution

The third proportional to 83,840.91 and 124,621.88 is: 185,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840.91 : 124,621.88 = 124,621.88 : x
  2. Step 2: Convert to fraction form
    83,840.91/124,621.88 = 124,621.88/x
  3. Step 3: Cross multiply
    83,840.91x = 124,621.88 × 124,621.88
  4. Step 4: Simplify right side
    83,840.91x = 15,530,611,728.52
  5. Step 5: Solve for x
    x = 15,530,611,728.52/83,840.91
  6. Step 6: Final answer
    x = 185,239.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.