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Finding the Third Proportional to 114,262.50 and 173,826

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Solution

The third proportional to 114,262.50 and 173,826 is: 264,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,262.50 : 173,826 = 173,826 : x
  2. Step 2: Convert to fraction form
    114,262.50/173,826 = 173,826/x
  3. Step 3: Cross multiply
    114,262.50x = 173,826 × 173,826
  4. Step 4: Simplify right side
    114,262.50x = 30,215,478,276
  5. Step 5: Solve for x
    x = 30,215,478,276/114,262.50
  6. Step 6: Final answer
    x = 264,439.15

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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.