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Finding the Third Proportional to 74,124 and 109,226

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Solution

The third proportional to 74,124 and 109,226 is: 160,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,124 : 109,226 = 109,226 : x
  2. Step 2: Convert to fraction form
    74,124/109,226 = 109,226/x
  3. Step 3: Cross multiply
    74,124x = 109,226 × 109,226
  4. Step 4: Simplify right side
    74,124x = 11,930,319,076
  5. Step 5: Solve for x
    x = 11,930,319,076/74,124
  6. Step 6: Final answer
    x = 160,950.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.