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Finding the Third Proportional to 52,498.13 and 79,719.19

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Solution

The third proportional to 52,498.13 and 79,719.19 is: 121,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.13 : 79,719.19 = 79,719.19 : x
  2. Step 2: Convert to fraction form
    52,498.13/79,719.19 = 79,719.19/x
  3. Step 3: Cross multiply
    52,498.13x = 79,719.19 × 79,719.19
  4. Step 4: Simplify right side
    52,498.13x = 6,355,148,855.66
  5. Step 5: Solve for x
    x = 6,355,148,855.66/52,498.13
  6. Step 6: Final answer
    x = 121,054.78

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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.