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Finding the Third Proportional to 103,084 and 159,282

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Solution

The third proportional to 103,084 and 159,282 is: 246,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,084 : 159,282 = 159,282 : x
  2. Step 2: Convert to fraction form
    103,084/159,282 = 159,282/x
  3. Step 3: Cross multiply
    103,084x = 159,282 × 159,282
  4. Step 4: Simplify right side
    103,084x = 25,370,755,524
  5. Step 5: Solve for x
    x = 25,370,755,524/103,084
  6. Step 6: Final answer
    x = 246,117.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.