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Finding the Third Proportional to 78,014 and 165,324

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Solution

The third proportional to 78,014 and 165,324 is: 350,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014 : 165,324 = 165,324 : x
  2. Step 2: Convert to fraction form
    78,014/165,324 = 165,324/x
  3. Step 3: Cross multiply
    78,014x = 165,324 × 165,324
  4. Step 4: Simplify right side
    78,014x = 27,332,024,976
  5. Step 5: Solve for x
    x = 27,332,024,976/78,014
  6. Step 6: Final answer
    x = 350,347.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.