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Finding the Third Proportional to 70,440 and 104,496

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Solution

The third proportional to 70,440 and 104,496 is: 155,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,440 : 104,496 = 104,496 : x
  2. Step 2: Convert to fraction form
    70,440/104,496 = 104,496/x
  3. Step 3: Cross multiply
    70,440x = 104,496 × 104,496
  4. Step 4: Simplify right side
    70,440x = 10,919,414,016
  5. Step 5: Solve for x
    x = 10,919,414,016/70,440
  6. Step 6: Final answer
    x = 155,017.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.