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Finding the Third Proportional to 67,903 and 99,424

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Solution

The third proportional to 67,903 and 99,424 is: 145,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,903 : 99,424 = 99,424 : x
  2. Step 2: Convert to fraction form
    67,903/99,424 = 99,424/x
  3. Step 3: Cross multiply
    67,903x = 99,424 × 99,424
  4. Step 4: Simplify right side
    67,903x = 9,885,131,776
  5. Step 5: Solve for x
    x = 9,885,131,776/67,903
  6. Step 6: Final answer
    x = 145,577.25

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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.