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Finding the Third Proportional to 53,396 and 113,376

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Solution

The third proportional to 53,396 and 113,376 is: 240,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,396 : 113,376 = 113,376 : x
  2. Step 2: Convert to fraction form
    53,396/113,376 = 113,376/x
  3. Step 3: Cross multiply
    53,396x = 113,376 × 113,376
  4. Step 4: Simplify right side
    53,396x = 12,854,117,376
  5. Step 5: Solve for x
    x = 12,854,117,376/53,396
  6. Step 6: Final answer
    x = 240,731.84

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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.