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Finding the Third Proportional to 54,498 and 73,971

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Solution

The third proportional to 54,498 and 73,971 is: 100,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498 : 73,971 = 73,971 : x
  2. Step 2: Convert to fraction form
    54,498/73,971 = 73,971/x
  3. Step 3: Cross multiply
    54,498x = 73,971 × 73,971
  4. Step 4: Simplify right side
    54,498x = 5,471,708,841
  5. Step 5: Solve for x
    x = 5,471,708,841/54,498
  6. Step 6: Final answer
    x = 100,402.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.