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Finding the Third Proportional to 51,774.75 and 124,696.13

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Solution

The third proportional to 51,774.75 and 124,696.13 is: 300,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.75 : 124,696.13 = 124,696.13 : x
  2. Step 2: Convert to fraction form
    51,774.75/124,696.13 = 124,696.13/x
  3. Step 3: Cross multiply
    51,774.75x = 124,696.13 × 124,696.13
  4. Step 4: Simplify right side
    51,774.75x = 15,549,123,590.02
  5. Step 5: Solve for x
    x = 15,549,123,590.02/51,774.75
  6. Step 6: Final answer
    x = 300,322.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.