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Finding the Third Proportional to 59,841 and 127,458

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Solution

The third proportional to 59,841 and 127,458 is: 271,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,841 : 127,458 = 127,458 : x
  2. Step 2: Convert to fraction form
    59,841/127,458 = 127,458/x
  3. Step 3: Cross multiply
    59,841x = 127,458 × 127,458
  4. Step 4: Simplify right side
    59,841x = 16,245,541,764
  5. Step 5: Solve for x
    x = 16,245,541,764/59,841
  6. Step 6: Final answer
    x = 271,478.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.