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Finding the Third Proportional to 122,560.59 and 183,778.88

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Solution

The third proportional to 122,560.59 and 183,778.88 is: 275,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,560.59 : 183,778.88 = 183,778.88 : x
  2. Step 2: Convert to fraction form
    122,560.59/183,778.88 = 183,778.88/x
  3. Step 3: Cross multiply
    122,560.59x = 183,778.88 × 183,778.88
  4. Step 4: Simplify right side
    122,560.59x = 33,774,674,896.27
  5. Step 5: Solve for x
    x = 33,774,674,896.27/122,560.59
  6. Step 6: Final answer
    x = 275,575.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.