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Finding the Third Proportional to 69,126.75 and 109,917

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Solution

The third proportional to 69,126.75 and 109,917 is: 174,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,126.75 : 109,917 = 109,917 : x
  2. Step 2: Convert to fraction form
    69,126.75/109,917 = 109,917/x
  3. Step 3: Cross multiply
    69,126.75x = 109,917 × 109,917
  4. Step 4: Simplify right side
    69,126.75x = 12,081,746,889
  5. Step 5: Solve for x
    x = 12,081,746,889/69,126.75
  6. Step 6: Final answer
    x = 174,776.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.