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Finding the Third Proportional to 51,607.13 and 79,759.13

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Solution

The third proportional to 51,607.13 and 79,759.13 is: 123,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,607.13 : 79,759.13 = 79,759.13 : x
  2. Step 2: Convert to fraction form
    51,607.13/79,759.13 = 79,759.13/x
  3. Step 3: Cross multiply
    51,607.13x = 79,759.13 × 79,759.13
  4. Step 4: Simplify right side
    51,607.13x = 6,361,518,020.77
  5. Step 5: Solve for x
    x = 6,361,518,020.77/51,607.13
  6. Step 6: Final answer
    x = 123,268.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.