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Finding the Third Proportional to 122,134 and 182,280

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Solution

The third proportional to 122,134 and 182,280 is: 272,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,134 : 182,280 = 182,280 : x
  2. Step 2: Convert to fraction form
    122,134/182,280 = 182,280/x
  3. Step 3: Cross multiply
    122,134x = 182,280 × 182,280
  4. Step 4: Simplify right side
    122,134x = 33,225,998,400
  5. Step 5: Solve for x
    x = 33,225,998,400/122,134
  6. Step 6: Final answer
    x = 272,045.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.