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Finding the Third Proportional to 53,406 and 115,074

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Solution

The third proportional to 53,406 and 115,074 is: 247,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406 : 115,074 = 115,074 : x
  2. Step 2: Convert to fraction form
    53,406/115,074 = 115,074/x
  3. Step 3: Cross multiply
    53,406x = 115,074 × 115,074
  4. Step 4: Simplify right side
    53,406x = 13,242,025,476
  5. Step 5: Solve for x
    x = 13,242,025,476/53,406
  6. Step 6: Final answer
    x = 247,950.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.