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Finding the Third Proportional to 87,297 and 133,482

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Solution

The third proportional to 87,297 and 133,482 is: 204,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297 : 133,482 = 133,482 : x
  2. Step 2: Convert to fraction form
    87,297/133,482 = 133,482/x
  3. Step 3: Cross multiply
    87,297x = 133,482 × 133,482
  4. Step 4: Simplify right side
    87,297x = 17,817,444,324
  5. Step 5: Solve for x
    x = 17,817,444,324/87,297
  6. Step 6: Final answer
    x = 204,101.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.