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Finding the Third Proportional to 52,458 and 113,207

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Solution

The third proportional to 52,458 and 113,207 is: 244,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,458 : 113,207 = 113,207 : x
  2. Step 2: Convert to fraction form
    52,458/113,207 = 113,207/x
  3. Step 3: Cross multiply
    52,458x = 113,207 × 113,207
  4. Step 4: Simplify right side
    52,458x = 12,815,824,849
  5. Step 5: Solve for x
    x = 12,815,824,849/52,458
  6. Step 6: Final answer
    x = 244,306.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.