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Finding the Third Proportional to 122,116.50 and 155,229

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Solution

The third proportional to 122,116.50 and 155,229 is: 197,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,116.50 : 155,229 = 155,229 : x
  2. Step 2: Convert to fraction form
    122,116.50/155,229 = 155,229/x
  3. Step 3: Cross multiply
    122,116.50x = 155,229 × 155,229
  4. Step 4: Simplify right side
    122,116.50x = 24,096,042,441
  5. Step 5: Solve for x
    x = 24,096,042,441/122,116.50
  6. Step 6: Final answer
    x = 197,320.12

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.