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Finding the Third Proportional to 45,074.50 and 96,403

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Solution

The third proportional to 45,074.50 and 96,403 is: 206,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,074.50 : 96,403 = 96,403 : x
  2. Step 2: Convert to fraction form
    45,074.50/96,403 = 96,403/x
  3. Step 3: Cross multiply
    45,074.50x = 96,403 × 96,403
  4. Step 4: Simplify right side
    45,074.50x = 9,293,538,409
  5. Step 5: Solve for x
    x = 9,293,538,409/45,074.50
  6. Step 6: Final answer
    x = 206,181.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.