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Finding the Third Proportional to 85,101 and 141,341

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Solution

The third proportional to 85,101 and 141,341 is: 234,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,101 : 141,341 = 141,341 : x
  2. Step 2: Convert to fraction form
    85,101/141,341 = 141,341/x
  3. Step 3: Cross multiply
    85,101x = 141,341 × 141,341
  4. Step 4: Simplify right side
    85,101x = 19,977,278,281
  5. Step 5: Solve for x
    x = 19,977,278,281/85,101
  6. Step 6: Final answer
    x = 234,747.87

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.