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Finding the Third Proportional to 60,332 and 122,285

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Solution

The third proportional to 60,332 and 122,285 is: 247,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,332 : 122,285 = 122,285 : x
  2. Step 2: Convert to fraction form
    60,332/122,285 = 122,285/x
  3. Step 3: Cross multiply
    60,332x = 122,285 × 122,285
  4. Step 4: Simplify right side
    60,332x = 14,953,621,225
  5. Step 5: Solve for x
    x = 14,953,621,225/60,332
  6. Step 6: Final answer
    x = 247,855.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.