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Finding the Third Proportional to 73,971 and 120,774.38

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Solution

The third proportional to 73,971 and 120,774.38 is: 197,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971 : 120,774.38 = 120,774.38 : x
  2. Step 2: Convert to fraction form
    73,971/120,774.38 = 120,774.38/x
  3. Step 3: Cross multiply
    73,971x = 120,774.38 × 120,774.38
  4. Step 4: Simplify right side
    73,971x = 14,586,449,656.64
  5. Step 5: Solve for x
    x = 14,586,449,656.64/73,971
  6. Step 6: Final answer
    x = 197,191.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.