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Finding the Third Proportional to 122,728.50 and 180,046.13

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Solution

The third proportional to 122,728.50 and 180,046.13 is: 264,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,728.50 : 180,046.13 = 180,046.13 : x
  2. Step 2: Convert to fraction form
    122,728.50/180,046.13 = 180,046.13/x
  3. Step 3: Cross multiply
    122,728.50x = 180,046.13 × 180,046.13
  4. Step 4: Simplify right side
    122,728.50x = 32,416,607,127.52
  5. Step 5: Solve for x
    x = 32,416,607,127.52/122,728.50
  6. Step 6: Final answer
    x = 264,132.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.