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Finding the Third Proportional to 85,331.25 and 114,872.63

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Solution

The third proportional to 85,331.25 and 114,872.63 is: 154,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331.25 : 114,872.63 = 114,872.63 : x
  2. Step 2: Convert to fraction form
    85,331.25/114,872.63 = 114,872.63/x
  3. Step 3: Cross multiply
    85,331.25x = 114,872.63 × 114,872.63
  4. Step 4: Simplify right side
    85,331.25x = 13,195,719,974.39
  5. Step 5: Solve for x
    x = 13,195,719,974.39/85,331.25
  6. Step 6: Final answer
    x = 154,641.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.