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Finding the Third Proportional to 114,376.50 and 173,509

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Solution

The third proportional to 114,376.50 and 173,509 is: 263,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,376.50 : 173,509 = 173,509 : x
  2. Step 2: Convert to fraction form
    114,376.50/173,509 = 173,509/x
  3. Step 3: Cross multiply
    114,376.50x = 173,509 × 173,509
  4. Step 4: Simplify right side
    114,376.50x = 30,105,373,081
  5. Step 5: Solve for x
    x = 30,105,373,081/114,376.50
  6. Step 6: Final answer
    x = 263,212.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.