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Finding the Third Proportional to 70,524 and 106,515

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Solution

The third proportional to 70,524 and 106,515 is: 160,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 106,515 = 106,515 : x
  2. Step 2: Convert to fraction form
    70,524/106,515 = 106,515/x
  3. Step 3: Cross multiply
    70,524x = 106,515 × 106,515
  4. Step 4: Simplify right side
    70,524x = 11,345,445,225
  5. Step 5: Solve for x
    x = 11,345,445,225/70,524
  6. Step 6: Final answer
    x = 160,873.54

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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.