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Finding the Third Proportional to 99,204 and 141,408

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Solution

The third proportional to 99,204 and 141,408 is: 201,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204 : 141,408 = 141,408 : x
  2. Step 2: Convert to fraction form
    99,204/141,408 = 141,408/x
  3. Step 3: Cross multiply
    99,204x = 141,408 × 141,408
  4. Step 4: Simplify right side
    99,204x = 19,996,222,464
  5. Step 5: Solve for x
    x = 19,996,222,464/99,204
  6. Step 6: Final answer
    x = 201,566.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.