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Finding the Third Proportional to 54,780 and 112,156

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Solution

The third proportional to 54,780 and 112,156 is: 229,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780 : 112,156 = 112,156 : x
  2. Step 2: Convert to fraction form
    54,780/112,156 = 112,156/x
  3. Step 3: Cross multiply
    54,780x = 112,156 × 112,156
  4. Step 4: Simplify right side
    54,780x = 12,578,968,336
  5. Step 5: Solve for x
    x = 12,578,968,336/54,780
  6. Step 6: Final answer
    x = 229,627.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.