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Finding the Third Proportional to 70,262 and 108,309

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Solution

The third proportional to 70,262 and 108,309 is: 166,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,262 : 108,309 = 108,309 : x
  2. Step 2: Convert to fraction form
    70,262/108,309 = 108,309/x
  3. Step 3: Cross multiply
    70,262x = 108,309 × 108,309
  4. Step 4: Simplify right side
    70,262x = 11,730,839,481
  5. Step 5: Solve for x
    x = 11,730,839,481/70,262
  6. Step 6: Final answer
    x = 166,958.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.