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Finding the Third Proportional to 85,498 and 186,725

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Solution

The third proportional to 85,498 and 186,725 is: 407,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,498 : 186,725 = 186,725 : x
  2. Step 2: Convert to fraction form
    85,498/186,725 = 186,725/x
  3. Step 3: Cross multiply
    85,498x = 186,725 × 186,725
  4. Step 4: Simplify right side
    85,498x = 34,866,225,625
  5. Step 5: Solve for x
    x = 34,866,225,625/85,498
  6. Step 6: Final answer
    x = 407,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.