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Finding the Third Proportional to 114,868.76 and 168,240.96

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Solution

The third proportional to 114,868.76 and 168,240.96 is: 246,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,868.76 : 168,240.96 = 168,240.96 : x
  2. Step 2: Convert to fraction form
    114,868.76/168,240.96 = 168,240.96/x
  3. Step 3: Cross multiply
    114,868.76x = 168,240.96 × 168,240.96
  4. Step 4: Simplify right side
    114,868.76x = 28,305,018,965.60
  5. Step 5: Solve for x
    x = 28,305,018,965.60/114,868.76
  6. Step 6: Final answer
    x = 246,411.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.