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Finding the Third Proportional to 73,396 and 113,409

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Solution

The third proportional to 73,396 and 113,409 is: 175,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,396 : 113,409 = 113,409 : x
  2. Step 2: Convert to fraction form
    73,396/113,409 = 113,409/x
  3. Step 3: Cross multiply
    73,396x = 113,409 × 113,409
  4. Step 4: Simplify right side
    73,396x = 12,861,601,281
  5. Step 5: Solve for x
    x = 12,861,601,281/73,396
  6. Step 6: Final answer
    x = 175,235.73

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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.