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Finding the Third Proportional to 122,584.22 and 185,710.22

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Solution

The third proportional to 122,584.22 and 185,710.22 is: 281,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,584.22 : 185,710.22 = 185,710.22 : x
  2. Step 2: Convert to fraction form
    122,584.22/185,710.22 = 185,710.22/x
  3. Step 3: Cross multiply
    122,584.22x = 185,710.22 × 185,710.22
  4. Step 4: Simplify right side
    122,584.22x = 34,488,285,348.17
  5. Step 5: Solve for x
    x = 34,488,285,348.17/122,584.22
  6. Step 6: Final answer
    x = 281,343.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.