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Finding the Third Proportional to 99,924 and 148,372

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Solution

The third proportional to 99,924 and 148,372 is: 220,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924 : 148,372 = 148,372 : x
  2. Step 2: Convert to fraction form
    99,924/148,372 = 148,372/x
  3. Step 3: Cross multiply
    99,924x = 148,372 × 148,372
  4. Step 4: Simplify right side
    99,924x = 22,014,250,384
  5. Step 5: Solve for x
    x = 22,014,250,384/99,924
  6. Step 6: Final answer
    x = 220,309.94

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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.