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Finding the Third Proportional to 51,384.28 and 112,081.88

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Solution

The third proportional to 51,384.28 and 112,081.88 is: 244,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384.28 : 112,081.88 = 112,081.88 : x
  2. Step 2: Convert to fraction form
    51,384.28/112,081.88 = 112,081.88/x
  3. Step 3: Cross multiply
    51,384.28x = 112,081.88 × 112,081.88
  4. Step 4: Simplify right side
    51,384.28x = 12,562,346,703.52
  5. Step 5: Solve for x
    x = 12,562,346,703.52/51,384.28
  6. Step 6: Final answer
    x = 244,478.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.