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Finding the Third Proportional to 51,931.13 and 113,470.88

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Solution

The third proportional to 51,931.13 and 113,470.88 is: 247,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,931.13 : 113,470.88 = 113,470.88 : x
  2. Step 2: Convert to fraction form
    51,931.13/113,470.88 = 113,470.88/x
  3. Step 3: Cross multiply
    51,931.13x = 113,470.88 × 113,470.88
  4. Step 4: Simplify right side
    51,931.13x = 12,875,639,473.27
  5. Step 5: Solve for x
    x = 12,875,639,473.27/51,931.13
  6. Step 6: Final answer
    x = 247,936.85

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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.