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Finding the Third Proportional to 70,700 and 109,330

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Solution

The third proportional to 70,700 and 109,330 is: 169,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700 : 109,330 = 109,330 : x
  2. Step 2: Convert to fraction form
    70,700/109,330 = 109,330/x
  3. Step 3: Cross multiply
    70,700x = 109,330 × 109,330
  4. Step 4: Simplify right side
    70,700x = 11,953,048,900
  5. Step 5: Solve for x
    x = 11,953,048,900/70,700
  6. Step 6: Final answer
    x = 169,067.17

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