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Finding the Third Proportional to 74,344.88 and 105,981.13

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Solution

The third proportional to 74,344.88 and 105,981.13 is: 151,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344.88 : 105,981.13 = 105,981.13 : x
  2. Step 2: Convert to fraction form
    74,344.88/105,981.13 = 105,981.13/x
  3. Step 3: Cross multiply
    74,344.88x = 105,981.13 × 105,981.13
  4. Step 4: Simplify right side
    74,344.88x = 11,231,998,856.27
  5. Step 5: Solve for x
    x = 11,231,998,856.27/74,344.88
  6. Step 6: Final answer
    x = 151,079.67

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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.