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Finding the Third Proportional to 55,246.31 and 120,612.84

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Solution

The third proportional to 55,246.31 and 120,612.84 is: 263,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246.31 : 120,612.84 = 120,612.84 : x
  2. Step 2: Convert to fraction form
    55,246.31/120,612.84 = 120,612.84/x
  3. Step 3: Cross multiply
    55,246.31x = 120,612.84 × 120,612.84
  4. Step 4: Simplify right side
    55,246.31x = 14,547,456,310.67
  5. Step 5: Solve for x
    x = 14,547,456,310.67/55,246.31
  6. Step 6: Final answer
    x = 263,319.96

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Why These Related Problems?

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