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Finding the Third Proportional to 78,354 and 114,249

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Solution

The third proportional to 78,354 and 114,249 is: 166,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354 : 114,249 = 114,249 : x
  2. Step 2: Convert to fraction form
    78,354/114,249 = 114,249/x
  3. Step 3: Cross multiply
    78,354x = 114,249 × 114,249
  4. Step 4: Simplify right side
    78,354x = 13,052,834,001
  5. Step 5: Solve for x
    x = 13,052,834,001/78,354
  6. Step 6: Final answer
    x = 166,587.97

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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.