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Finding the Third Proportional to 69,294 and 104,565

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Solution

The third proportional to 69,294 and 104,565 is: 157,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,294 : 104,565 = 104,565 : x
  2. Step 2: Convert to fraction form
    69,294/104,565 = 104,565/x
  3. Step 3: Cross multiply
    69,294x = 104,565 × 104,565
  4. Step 4: Simplify right side
    69,294x = 10,933,839,225
  5. Step 5: Solve for x
    x = 10,933,839,225/69,294
  6. Step 6: Final answer
    x = 157,789.12

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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.