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Finding the Third Proportional to 58,225 and 124,760

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Solution

The third proportional to 58,225 and 124,760 is: 267,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,225 : 124,760 = 124,760 : x
  2. Step 2: Convert to fraction form
    58,225/124,760 = 124,760/x
  3. Step 3: Cross multiply
    58,225x = 124,760 × 124,760
  4. Step 4: Simplify right side
    58,225x = 15,565,057,600
  5. Step 5: Solve for x
    x = 15,565,057,600/58,225
  6. Step 6: Final answer
    x = 267,326.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.