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Finding the Third Proportional to 53,358 and 113,286

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Solution

The third proportional to 53,358 and 113,286 is: 240,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,358 : 113,286 = 113,286 : x
  2. Step 2: Convert to fraction form
    53,358/113,286 = 113,286/x
  3. Step 3: Cross multiply
    53,358x = 113,286 × 113,286
  4. Step 4: Simplify right side
    53,358x = 12,833,717,796
  5. Step 5: Solve for x
    x = 12,833,717,796/53,358
  6. Step 6: Final answer
    x = 240,520.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.