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Finding the Third Proportional to 45,091 and 70,092.50

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Solution

The third proportional to 45,091 and 70,092.50 is: 108,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,091 : 70,092.50 = 70,092.50 : x
  2. Step 2: Convert to fraction form
    45,091/70,092.50 = 70,092.50/x
  3. Step 3: Cross multiply
    45,091x = 70,092.50 × 70,092.50
  4. Step 4: Simplify right side
    45,091x = 4,912,958,556.25
  5. Step 5: Solve for x
    x = 4,912,958,556.25/45,091
  6. Step 6: Final answer
    x = 108,956.52

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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.