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Finding the Third Proportional to 45,872 and 99,464

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Solution

The third proportional to 45,872 and 99,464 is: 215,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,872 : 99,464 = 99,464 : x
  2. Step 2: Convert to fraction form
    45,872/99,464 = 99,464/x
  3. Step 3: Cross multiply
    45,872x = 99,464 × 99,464
  4. Step 4: Simplify right side
    45,872x = 9,893,087,296
  5. Step 5: Solve for x
    x = 9,893,087,296/45,872
  6. Step 6: Final answer
    x = 215,667.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.