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Finding the Third Proportional to 53,370 and 113,310

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Solution

The third proportional to 53,370 and 113,310 is: 240,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,370 : 113,310 = 113,310 : x
  2. Step 2: Convert to fraction form
    53,370/113,310 = 113,310/x
  3. Step 3: Cross multiply
    53,370x = 113,310 × 113,310
  4. Step 4: Simplify right side
    53,370x = 12,839,156,100
  5. Step 5: Solve for x
    x = 12,839,156,100/53,370
  6. Step 6: Final answer
    x = 240,568.79

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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.