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Finding the Third Proportional to 85,713 and 125,218.50

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Solution

The third proportional to 85,713 and 125,218.50 is: 182,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713 : 125,218.50 = 125,218.50 : x
  2. Step 2: Convert to fraction form
    85,713/125,218.50 = 125,218.50/x
  3. Step 3: Cross multiply
    85,713x = 125,218.50 × 125,218.50
  4. Step 4: Simplify right side
    85,713x = 15,679,672,742.25
  5. Step 5: Solve for x
    x = 15,679,672,742.25/85,713
  6. Step 6: Final answer
    x = 182,932.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.