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Finding the Third Proportional to 51,484 and 112,809

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Solution

The third proportional to 51,484 and 112,809 is: 247,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,484 : 112,809 = 112,809 : x
  2. Step 2: Convert to fraction form
    51,484/112,809 = 112,809/x
  3. Step 3: Cross multiply
    51,484x = 112,809 × 112,809
  4. Step 4: Simplify right side
    51,484x = 12,725,870,481
  5. Step 5: Solve for x
    x = 12,725,870,481/51,484
  6. Step 6: Final answer
    x = 247,181.08

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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.