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Finding the Third Proportional to 89,807.06 and 135,086.91

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Solution

The third proportional to 89,807.06 and 135,086.91 is: 203,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,807.06 : 135,086.91 = 135,086.91 : x
  2. Step 2: Convert to fraction form
    89,807.06/135,086.91 = 135,086.91/x
  3. Step 3: Cross multiply
    89,807.06x = 135,086.91 × 135,086.91
  4. Step 4: Simplify right side
    89,807.06x = 18,248,472,240.20
  5. Step 5: Solve for x
    x = 18,248,472,240.20/89,807.06
  6. Step 6: Final answer
    x = 203,196.40

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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.