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Finding the Third Proportional to 89,304 and 121,282

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Solution

The third proportional to 89,304 and 121,282 is: 164,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,304 : 121,282 = 121,282 : x
  2. Step 2: Convert to fraction form
    89,304/121,282 = 121,282/x
  3. Step 3: Cross multiply
    89,304x = 121,282 × 121,282
  4. Step 4: Simplify right side
    89,304x = 14,709,323,524
  5. Step 5: Solve for x
    x = 14,709,323,524/89,304
  6. Step 6: Final answer
    x = 164,710.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.