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Finding the Third Proportional to 51,460.13 and 112,639.88

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Solution

The third proportional to 51,460.13 and 112,639.88 is: 246,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.13 : 112,639.88 = 112,639.88 : x
  2. Step 2: Convert to fraction form
    51,460.13/112,639.88 = 112,639.88/x
  3. Step 3: Cross multiply
    51,460.13x = 112,639.88 × 112,639.88
  4. Step 4: Simplify right side
    51,460.13x = 12,687,741,440.02
  5. Step 5: Solve for x
    x = 12,687,741,440.02/51,460.13
  6. Step 6: Final answer
    x = 246,554.81

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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.