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Finding the Third Proportional to 53,762 and 115,348

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Solution

The third proportional to 53,762 and 115,348 is: 247,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,762 : 115,348 = 115,348 : x
  2. Step 2: Convert to fraction form
    53,762/115,348 = 115,348/x
  3. Step 3: Cross multiply
    53,762x = 115,348 × 115,348
  4. Step 4: Simplify right side
    53,762x = 13,305,161,104
  5. Step 5: Solve for x
    x = 13,305,161,104/53,762
  6. Step 6: Final answer
    x = 247,482.63

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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.