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Finding the Third Proportional to 122,432 and 189,048

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Solution

The third proportional to 122,432 and 189,048 is: 291,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,432 : 189,048 = 189,048 : x
  2. Step 2: Convert to fraction form
    122,432/189,048 = 189,048/x
  3. Step 3: Cross multiply
    122,432x = 189,048 × 189,048
  4. Step 4: Simplify right side
    122,432x = 35,739,146,304
  5. Step 5: Solve for x
    x = 35,739,146,304/122,432
  6. Step 6: Final answer
    x = 291,910.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.