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Finding the Third Proportional to 67,700 and 105,870

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Solution

The third proportional to 67,700 and 105,870 is: 165,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,700 : 105,870 = 105,870 : x
  2. Step 2: Convert to fraction form
    67,700/105,870 = 105,870/x
  3. Step 3: Cross multiply
    67,700x = 105,870 × 105,870
  4. Step 4: Simplify right side
    67,700x = 11,208,456,900
  5. Step 5: Solve for x
    x = 11,208,456,900/67,700
  6. Step 6: Final answer
    x = 165,560.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.