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Finding the Third Proportional to 114,311.25 and 173,746.50

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Solution

The third proportional to 114,311.25 and 173,746.50 is: 264,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,311.25 : 173,746.50 = 173,746.50 : x
  2. Step 2: Convert to fraction form
    114,311.25/173,746.50 = 173,746.50/x
  3. Step 3: Cross multiply
    114,311.25x = 173,746.50 × 173,746.50
  4. Step 4: Simplify right side
    114,311.25x = 30,187,846,262.25
  5. Step 5: Solve for x
    x = 30,187,846,262.25/114,311.25
  6. Step 6: Final answer
    x = 264,084.65

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