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Finding the Third Proportional to 51,005.79 and 79,244.58

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Solution

The third proportional to 51,005.79 and 79,244.58 is: 123,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005.79 : 79,244.58 = 79,244.58 : x
  2. Step 2: Convert to fraction form
    51,005.79/79,244.58 = 79,244.58/x
  3. Step 3: Cross multiply
    51,005.79x = 79,244.58 × 79,244.58
  4. Step 4: Simplify right side
    51,005.79x = 6,279,703,162.21
  5. Step 5: Solve for x
    x = 6,279,703,162.21/51,005.79
  6. Step 6: Final answer
    x = 123,117.45

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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.