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Finding the Third Proportional to 54,316 and 113,597

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Solution

The third proportional to 54,316 and 113,597 is: 237,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,316 : 113,597 = 113,597 : x
  2. Step 2: Convert to fraction form
    54,316/113,597 = 113,597/x
  3. Step 3: Cross multiply
    54,316x = 113,597 × 113,597
  4. Step 4: Simplify right side
    54,316x = 12,904,278,409
  5. Step 5: Solve for x
    x = 12,904,278,409/54,316
  6. Step 6: Final answer
    x = 237,577.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.