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Finding the Third Proportional to 122,468 and 187,338

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Solution

The third proportional to 122,468 and 187,338 is: 286,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,468 : 187,338 = 187,338 : x
  2. Step 2: Convert to fraction form
    122,468/187,338 = 187,338/x
  3. Step 3: Cross multiply
    122,468x = 187,338 × 187,338
  4. Step 4: Simplify right side
    122,468x = 35,095,526,244
  5. Step 5: Solve for x
    x = 35,095,526,244/122,468
  6. Step 6: Final answer
    x = 286,568.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.