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Finding the Third Proportional to 85,789.50 and 129,315

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Solution

The third proportional to 85,789.50 and 129,315 is: 194,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,789.50 : 129,315 = 129,315 : x
  2. Step 2: Convert to fraction form
    85,789.50/129,315 = 129,315/x
  3. Step 3: Cross multiply
    85,789.50x = 129,315 × 129,315
  4. Step 4: Simplify right side
    85,789.50x = 16,722,369,225
  5. Step 5: Solve for x
    x = 16,722,369,225/85,789.50
  6. Step 6: Final answer
    x = 194,923.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.