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Finding the Third Proportional to 70.45 and 100.55

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Solution

The third proportional to 70.45 and 100.55 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.45 : 100.55 = 100.55 : x
  2. Step 2: Convert to fraction form
    70.45/100.55 = 100.55/x
  3. Step 3: Cross multiply
    70.45x = 100.55 × 100.55
  4. Step 4: Simplify right side
    70.45x = 10,109.67
  5. Step 5: Solve for x
    x = 10,109.67/70.45
  6. Step 6: Final answer
    x = 143.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.