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Finding the Third Proportional to 114,031 and 160,399

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Solution

The third proportional to 114,031 and 160,399 is: 225,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,031 : 160,399 = 160,399 : x
  2. Step 2: Convert to fraction form
    114,031/160,399 = 160,399/x
  3. Step 3: Cross multiply
    114,031x = 160,399 × 160,399
  4. Step 4: Simplify right side
    114,031x = 25,727,839,201
  5. Step 5: Solve for x
    x = 25,727,839,201/114,031
  6. Step 6: Final answer
    x = 225,621.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.