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Finding the Third Proportional to 73,971 and 113,811.75

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Solution

The third proportional to 73,971 and 113,811.75 is: 175,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971 : 113,811.75 = 113,811.75 : x
  2. Step 2: Convert to fraction form
    73,971/113,811.75 = 113,811.75/x
  3. Step 3: Cross multiply
    73,971x = 113,811.75 × 113,811.75
  4. Step 4: Simplify right side
    73,971x = 12,953,114,438.06
  5. Step 5: Solve for x
    x = 12,953,114,438.06/73,971
  6. Step 6: Final answer
    x = 175,110.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.