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Finding the Third Proportional to 85,700 and 131,814

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Solution

The third proportional to 85,700 and 131,814 is: 202,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,700 : 131,814 = 131,814 : x
  2. Step 2: Convert to fraction form
    85,700/131,814 = 131,814/x
  3. Step 3: Cross multiply
    85,700x = 131,814 × 131,814
  4. Step 4: Simplify right side
    85,700x = 17,374,930,596
  5. Step 5: Solve for x
    x = 17,374,930,596/85,700
  6. Step 6: Final answer
    x = 202,741.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.