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Finding the Third Proportional to 58,449 and 126,123

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Solution

The third proportional to 58,449 and 126,123 is: 272,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,449 : 126,123 = 126,123 : x
  2. Step 2: Convert to fraction form
    58,449/126,123 = 126,123/x
  3. Step 3: Cross multiply
    58,449x = 126,123 × 126,123
  4. Step 4: Simplify right side
    58,449x = 15,907,011,129
  5. Step 5: Solve for x
    x = 15,907,011,129/58,449
  6. Step 6: Final answer
    x = 272,151.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.