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Finding the Third Proportional to 57,169.13 and 83,678.06

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Solution

The third proportional to 57,169.13 and 83,678.06 is: 122,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.13 : 83,678.06 = 83,678.06 : x
  2. Step 2: Convert to fraction form
    57,169.13/83,678.06 = 83,678.06/x
  3. Step 3: Cross multiply
    57,169.13x = 83,678.06 × 83,678.06
  4. Step 4: Simplify right side
    57,169.13x = 7,002,018,143.75
  5. Step 5: Solve for x
    x = 7,002,018,143.75/57,169.13
  6. Step 6: Final answer
    x = 122,479.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.