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Finding the Third Proportional to 114,382 and 165,011

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Solution

The third proportional to 114,382 and 165,011 is: 238,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,382 : 165,011 = 165,011 : x
  2. Step 2: Convert to fraction form
    114,382/165,011 = 165,011/x
  3. Step 3: Cross multiply
    114,382x = 165,011 × 165,011
  4. Step 4: Simplify right side
    114,382x = 27,228,630,121
  5. Step 5: Solve for x
    x = 27,228,630,121/114,382
  6. Step 6: Final answer
    x = 238,049.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.