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Finding the Third Proportional to 120,909 and 187,848

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Solution

The third proportional to 120,909 and 187,848 is: 291,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,909 : 187,848 = 187,848 : x
  2. Step 2: Convert to fraction form
    120,909/187,848 = 187,848/x
  3. Step 3: Cross multiply
    120,909x = 187,848 × 187,848
  4. Step 4: Simplify right side
    120,909x = 35,286,871,104
  5. Step 5: Solve for x
    x = 35,286,871,104/120,909
  6. Step 6: Final answer
    x = 291,846.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.