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Finding the Third Proportional to 53,719 and 113,841

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Solution

The third proportional to 53,719 and 113,841 is: 241,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,719 : 113,841 = 113,841 : x
  2. Step 2: Convert to fraction form
    53,719/113,841 = 113,841/x
  3. Step 3: Cross multiply
    53,719x = 113,841 × 113,841
  4. Step 4: Simplify right side
    53,719x = 12,959,773,281
  5. Step 5: Solve for x
    x = 12,959,773,281/53,719
  6. Step 6: Final answer
    x = 241,251.20

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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.