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Finding the Third Proportional to 85,882 and 136,287

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Solution

The third proportional to 85,882 and 136,287 is: 216,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882 : 136,287 = 136,287 : x
  2. Step 2: Convert to fraction form
    85,882/136,287 = 136,287/x
  3. Step 3: Cross multiply
    85,882x = 136,287 × 136,287
  4. Step 4: Simplify right side
    85,882x = 18,574,146,369
  5. Step 5: Solve for x
    x = 18,574,146,369/85,882
  6. Step 6: Final answer
    x = 216,275.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.