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Finding the Third Proportional to 99,760 and 145,918

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Solution

The third proportional to 99,760 and 145,918 is: 213,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,760 : 145,918 = 145,918 : x
  2. Step 2: Convert to fraction form
    99,760/145,918 = 145,918/x
  3. Step 3: Cross multiply
    99,760x = 145,918 × 145,918
  4. Step 4: Simplify right side
    99,760x = 21,292,062,724
  5. Step 5: Solve for x
    x = 21,292,062,724/99,760
  6. Step 6: Final answer
    x = 213,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.