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Finding the Third Proportional to 114,964 and 167,982

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Solution

The third proportional to 114,964 and 167,982 is: 245,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,964 : 167,982 = 167,982 : x
  2. Step 2: Convert to fraction form
    114,964/167,982 = 167,982/x
  3. Step 3: Cross multiply
    114,964x = 167,982 × 167,982
  4. Step 4: Simplify right side
    114,964x = 28,217,952,324
  5. Step 5: Solve for x
    x = 28,217,952,324/114,964
  6. Step 6: Final answer
    x = 245,450.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.