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Finding the Third Proportional to 73,496 and 113,558

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Solution

The third proportional to 73,496 and 113,558 is: 175,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,496 : 113,558 = 113,558 : x
  2. Step 2: Convert to fraction form
    73,496/113,558 = 113,558/x
  3. Step 3: Cross multiply
    73,496x = 113,558 × 113,558
  4. Step 4: Simplify right side
    73,496x = 12,895,419,364
  5. Step 5: Solve for x
    x = 12,895,419,364/73,496
  6. Step 6: Final answer
    x = 175,457.43

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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.