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Finding the Third Proportional to 69,197 and 104,421

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Solution

The third proportional to 69,197 and 104,421 is: 157,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197 : 104,421 = 104,421 : x
  2. Step 2: Convert to fraction form
    69,197/104,421 = 104,421/x
  3. Step 3: Cross multiply
    69,197x = 104,421 × 104,421
  4. Step 4: Simplify right side
    69,197x = 10,903,745,241
  5. Step 5: Solve for x
    x = 10,903,745,241/69,197
  6. Step 6: Final answer
    x = 157,575.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.