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Finding the Third Proportional to 122,459 and 187,336

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Solution

The third proportional to 122,459 and 187,336 is: 286,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,459 : 187,336 = 187,336 : x
  2. Step 2: Convert to fraction form
    122,459/187,336 = 187,336/x
  3. Step 3: Cross multiply
    122,459x = 187,336 × 187,336
  4. Step 4: Simplify right side
    122,459x = 35,094,776,896
  5. Step 5: Solve for x
    x = 35,094,776,896/122,459
  6. Step 6: Final answer
    x = 286,583.89

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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.