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Finding the Third Proportional to 85,325 and 114,864.50

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Solution

The third proportional to 85,325 and 114,864.50 is: 154,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,325 : 114,864.50 = 114,864.50 : x
  2. Step 2: Convert to fraction form
    85,325/114,864.50 = 114,864.50/x
  3. Step 3: Cross multiply
    85,325x = 114,864.50 × 114,864.50
  4. Step 4: Simplify right side
    85,325x = 13,193,853,360.25
  5. Step 5: Solve for x
    x = 13,193,853,360.25/85,325
  6. Step 6: Final answer
    x = 154,630.57

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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.