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Finding the Third Proportional to 69,314 and 103,539

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Solution

The third proportional to 69,314 and 103,539 is: 154,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,314 : 103,539 = 103,539 : x
  2. Step 2: Convert to fraction form
    69,314/103,539 = 103,539/x
  3. Step 3: Cross multiply
    69,314x = 103,539 × 103,539
  4. Step 4: Simplify right side
    69,314x = 10,720,324,521
  5. Step 5: Solve for x
    x = 10,720,324,521/69,314
  6. Step 6: Final answer
    x = 154,663.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.