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Finding the Third Proportional to 124,069 and 151,285

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Solution

The third proportional to 124,069 and 151,285 is: 184,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,069 : 151,285 = 151,285 : x
  2. Step 2: Convert to fraction form
    124,069/151,285 = 151,285/x
  3. Step 3: Cross multiply
    124,069x = 151,285 × 151,285
  4. Step 4: Simplify right side
    124,069x = 22,887,151,225
  5. Step 5: Solve for x
    x = 22,887,151,225/124,069
  6. Step 6: Final answer
    x = 184,471.15

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.