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Finding the Third Proportional to 122,775.75 and 187,444.13

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Solution

The third proportional to 122,775.75 and 187,444.13 is: 286,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,775.75 : 187,444.13 = 187,444.13 : x
  2. Step 2: Convert to fraction form
    122,775.75/187,444.13 = 187,444.13/x
  3. Step 3: Cross multiply
    122,775.75x = 187,444.13 × 187,444.13
  4. Step 4: Simplify right side
    122,775.75x = 35,135,299,997.02
  5. Step 5: Solve for x
    x = 35,135,299,997.02/122,775.75
  6. Step 6: Final answer
    x = 286,174.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.