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Finding the Third Proportional to 111,700 and 146,814

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Solution

The third proportional to 111,700 and 146,814 is: 192,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,700 : 146,814 = 146,814 : x
  2. Step 2: Convert to fraction form
    111,700/146,814 = 146,814/x
  3. Step 3: Cross multiply
    111,700x = 146,814 × 146,814
  4. Step 4: Simplify right side
    111,700x = 21,554,350,596
  5. Step 5: Solve for x
    x = 21,554,350,596/111,700
  6. Step 6: Final answer
    x = 192,966.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.