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Finding the Third Proportional to 67,628 and 105,134

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Solution

The third proportional to 67,628 and 105,134 is: 163,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,628 : 105,134 = 105,134 : x
  2. Step 2: Convert to fraction form
    67,628/105,134 = 105,134/x
  3. Step 3: Cross multiply
    67,628x = 105,134 × 105,134
  4. Step 4: Simplify right side
    67,628x = 11,053,157,956
  5. Step 5: Solve for x
    x = 11,053,157,956/67,628
  6. Step 6: Final answer
    x = 163,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.