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Finding the Third Proportional to 69,397 and 103,905

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Solution

The third proportional to 69,397 and 103,905 is: 155,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,397 : 103,905 = 103,905 : x
  2. Step 2: Convert to fraction form
    69,397/103,905 = 103,905/x
  3. Step 3: Cross multiply
    69,397x = 103,905 × 103,905
  4. Step 4: Simplify right side
    69,397x = 10,796,249,025
  5. Step 5: Solve for x
    x = 10,796,249,025/69,397
  6. Step 6: Final answer
    x = 155,572.27

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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.