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Finding the Third Proportional to 85,607.25 and 133,072.88

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Solution

The third proportional to 85,607.25 and 133,072.88 is: 206,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,607.25 : 133,072.88 = 133,072.88 : x
  2. Step 2: Convert to fraction form
    85,607.25/133,072.88 = 133,072.88/x
  3. Step 3: Cross multiply
    85,607.25x = 133,072.88 × 133,072.88
  4. Step 4: Simplify right side
    85,607.25x = 17,708,390,060.77
  5. Step 5: Solve for x
    x = 17,708,390,060.77/85,607.25
  6. Step 6: Final answer
    x = 206,856.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.