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Finding the Third Proportional to 57,230 and 123,292

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Solution

The third proportional to 57,230 and 123,292 is: 265,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230 : 123,292 = 123,292 : x
  2. Step 2: Convert to fraction form
    57,230/123,292 = 123,292/x
  3. Step 3: Cross multiply
    57,230x = 123,292 × 123,292
  4. Step 4: Simplify right side
    57,230x = 15,200,917,264
  5. Step 5: Solve for x
    x = 15,200,917,264/57,230
  6. Step 6: Final answer
    x = 265,611.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.