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Finding the Third Proportional to 70,524 and 108,023

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Solution

The third proportional to 70,524 and 108,023 is: 165,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 108,023 = 108,023 : x
  2. Step 2: Convert to fraction form
    70,524/108,023 = 108,023/x
  3. Step 3: Cross multiply
    70,524x = 108,023 × 108,023
  4. Step 4: Simplify right side
    70,524x = 11,668,968,529
  5. Step 5: Solve for x
    x = 11,668,968,529/70,524
  6. Step 6: Final answer
    x = 165,460.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.