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Finding the Third Proportional to 53,799 and 113,750

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Solution

The third proportional to 53,799 and 113,750 is: 240,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,799 : 113,750 = 113,750 : x
  2. Step 2: Convert to fraction form
    53,799/113,750 = 113,750/x
  3. Step 3: Cross multiply
    53,799x = 113,750 × 113,750
  4. Step 4: Simplify right side
    53,799x = 12,939,062,500
  5. Step 5: Solve for x
    x = 12,939,062,500/53,799
  6. Step 6: Final answer
    x = 240,507.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.