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Finding the Third Proportional to 70,377.50 and 105,658.50

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Solution

The third proportional to 70,377.50 and 105,658.50 is: 158,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,377.50 : 105,658.50 = 105,658.50 : x
  2. Step 2: Convert to fraction form
    70,377.50/105,658.50 = 105,658.50/x
  3. Step 3: Cross multiply
    70,377.50x = 105,658.50 × 105,658.50
  4. Step 4: Simplify right side
    70,377.50x = 11,163,718,622.25
  5. Step 5: Solve for x
    x = 11,163,718,622.25/70,377.50
  6. Step 6: Final answer
    x = 158,626.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.