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Finding the Third Proportional to 53,400 and 113,382

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Solution

The third proportional to 53,400 and 113,382 is: 240,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,400 : 113,382 = 113,382 : x
  2. Step 2: Convert to fraction form
    53,400/113,382 = 113,382/x
  3. Step 3: Cross multiply
    53,400x = 113,382 × 113,382
  4. Step 4: Simplify right side
    53,400x = 12,855,477,924
  5. Step 5: Solve for x
    x = 12,855,477,924/53,400
  6. Step 6: Final answer
    x = 240,739.29

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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.