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Finding the Third Proportional to 99,421 and 150,579

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Solution

The third proportional to 99,421 and 150,579 is: 228,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421 : 150,579 = 150,579 : x
  2. Step 2: Convert to fraction form
    99,421/150,579 = 150,579/x
  3. Step 3: Cross multiply
    99,421x = 150,579 × 150,579
  4. Step 4: Simplify right side
    99,421x = 22,674,035,241
  5. Step 5: Solve for x
    x = 22,674,035,241/99,421
  6. Step 6: Final answer
    x = 228,060.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.