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Finding the Third Proportional to 54,025 and 112,382

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Solution

The third proportional to 54,025 and 112,382 is: 233,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,025 : 112,382 = 112,382 : x
  2. Step 2: Convert to fraction form
    54,025/112,382 = 112,382/x
  3. Step 3: Cross multiply
    54,025x = 112,382 × 112,382
  4. Step 4: Simplify right side
    54,025x = 12,629,713,924
  5. Step 5: Solve for x
    x = 12,629,713,924/54,025
  6. Step 6: Final answer
    x = 233,775.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.