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Finding the Third Proportional to 99,873 and 148,311

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Solution

The third proportional to 99,873 and 148,311 is: 220,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,873 : 148,311 = 148,311 : x
  2. Step 2: Convert to fraction form
    99,873/148,311 = 148,311/x
  3. Step 3: Cross multiply
    99,873x = 148,311 × 148,311
  4. Step 4: Simplify right side
    99,873x = 21,996,152,721
  5. Step 5: Solve for x
    x = 21,996,152,721/99,873
  6. Step 6: Final answer
    x = 220,241.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.