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Finding the Third Proportional to 60,901 and 132,841

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Solution

The third proportional to 60,901 and 132,841 is: 289,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,901 : 132,841 = 132,841 : x
  2. Step 2: Convert to fraction form
    60,901/132,841 = 132,841/x
  3. Step 3: Cross multiply
    60,901x = 132,841 × 132,841
  4. Step 4: Simplify right side
    60,901x = 17,646,731,281
  5. Step 5: Solve for x
    x = 17,646,731,281/60,901
  6. Step 6: Final answer
    x = 289,760.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.