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Finding the Third Proportional to 52,158.94 and 79,233.19

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Solution

The third proportional to 52,158.94 and 79,233.19 is: 120,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.94 : 79,233.19 = 79,233.19 : x
  2. Step 2: Convert to fraction form
    52,158.94/79,233.19 = 79,233.19/x
  3. Step 3: Cross multiply
    52,158.94x = 79,233.19 × 79,233.19
  4. Step 4: Simplify right side
    52,158.94x = 6,277,898,001.41
  5. Step 5: Solve for x
    x = 6,277,898,001.41/52,158.94
  6. Step 6: Final answer
    x = 120,360.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.