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Finding the Third Proportional to 70,845.75 and 109,677.75

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Solution

The third proportional to 70,845.75 and 109,677.75 is: 169,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,845.75 : 109,677.75 = 109,677.75 : x
  2. Step 2: Convert to fraction form
    70,845.75/109,677.75 = 109,677.75/x
  3. Step 3: Cross multiply
    70,845.75x = 109,677.75 × 109,677.75
  4. Step 4: Simplify right side
    70,845.75x = 12,029,208,845.06
  5. Step 5: Solve for x
    x = 12,029,208,845.06/70,845.75
  6. Step 6: Final answer
    x = 169,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.