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Finding the Third Proportional to 46,139 and 97,744

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Solution

The third proportional to 46,139 and 97,744 is: 207,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,139 : 97,744 = 97,744 : x
  2. Step 2: Convert to fraction form
    46,139/97,744 = 97,744/x
  3. Step 3: Cross multiply
    46,139x = 97,744 × 97,744
  4. Step 4: Simplify right side
    46,139x = 9,553,889,536
  5. Step 5: Solve for x
    x = 9,553,889,536/46,139
  6. Step 6: Final answer
    x = 207,067.55

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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.