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Finding the Third Proportional to 51,085.50 and 79,733.25

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Solution

The third proportional to 51,085.50 and 79,733.25 is: 124,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,085.50 : 79,733.25 = 79,733.25 : x
  2. Step 2: Convert to fraction form
    51,085.50/79,733.25 = 79,733.25/x
  3. Step 3: Cross multiply
    51,085.50x = 79,733.25 × 79,733.25
  4. Step 4: Simplify right side
    51,085.50x = 6,357,391,155.56
  5. Step 5: Solve for x
    x = 6,357,391,155.56/51,085.50
  6. Step 6: Final answer
    x = 124,446.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.