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Finding the Third Proportional to 70,524 and 105,921

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Solution

The third proportional to 70,524 and 105,921 is: 159,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 105,921 = 105,921 : x
  2. Step 2: Convert to fraction form
    70,524/105,921 = 105,921/x
  3. Step 3: Cross multiply
    70,524x = 105,921 × 105,921
  4. Step 4: Simplify right side
    70,524x = 11,219,258,241
  5. Step 5: Solve for x
    x = 11,219,258,241/70,524
  6. Step 6: Final answer
    x = 159,084.26

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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.