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Finding the Third Proportional to 84,855 and 125,814

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Solution

The third proportional to 84,855 and 125,814 is: 186,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,855 : 125,814 = 125,814 : x
  2. Step 2: Convert to fraction form
    84,855/125,814 = 125,814/x
  3. Step 3: Cross multiply
    84,855x = 125,814 × 125,814
  4. Step 4: Simplify right side
    84,855x = 15,829,162,596
  5. Step 5: Solve for x
    x = 15,829,162,596/84,855
  6. Step 6: Final answer
    x = 186,543.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.