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Finding the Third Proportional to 58,221 and 124,743

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Solution

The third proportional to 58,221 and 124,743 is: 267,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,221 : 124,743 = 124,743 : x
  2. Step 2: Convert to fraction form
    58,221/124,743 = 124,743/x
  3. Step 3: Cross multiply
    58,221x = 124,743 × 124,743
  4. Step 4: Simplify right side
    58,221x = 15,560,816,049
  5. Step 5: Solve for x
    x = 15,560,816,049/58,221
  6. Step 6: Final answer
    x = 267,271.54

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