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Finding the Third Proportional to 69,137 and 103,681

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Solution

The third proportional to 69,137 and 103,681 is: 155,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,137 : 103,681 = 103,681 : x
  2. Step 2: Convert to fraction form
    69,137/103,681 = 103,681/x
  3. Step 3: Cross multiply
    69,137x = 103,681 × 103,681
  4. Step 4: Simplify right side
    69,137x = 10,749,749,761
  5. Step 5: Solve for x
    x = 10,749,749,761/69,137
  6. Step 6: Final answer
    x = 155,484.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.