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Finding the Third Proportional to 70,267.50 and 107,163

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Solution

The third proportional to 70,267.50 and 107,163 is: 163,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,267.50 : 107,163 = 107,163 : x
  2. Step 2: Convert to fraction form
    70,267.50/107,163 = 107,163/x
  3. Step 3: Cross multiply
    70,267.50x = 107,163 × 107,163
  4. Step 4: Simplify right side
    70,267.50x = 11,483,908,569
  5. Step 5: Solve for x
    x = 11,483,908,569/70,267.50
  6. Step 6: Final answer
    x = 163,431.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.