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Finding the Third Proportional to 51,785.16 and 113,454.84

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Solution

The third proportional to 51,785.16 and 113,454.84 is: 248,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,785.16 : 113,454.84 = 113,454.84 : x
  2. Step 2: Convert to fraction form
    51,785.16/113,454.84 = 113,454.84/x
  3. Step 3: Cross multiply
    51,785.16x = 113,454.84 × 113,454.84
  4. Step 4: Simplify right side
    51,785.16x = 12,872,001,570.34
  5. Step 5: Solve for x
    x = 12,872,001,570.34/51,785.16
  6. Step 6: Final answer
    x = 248,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.