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Finding the Third Proportional to 114,640.13 and 152,894.81

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Solution

The third proportional to 114,640.13 and 152,894.81 is: 203,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,640.13 : 152,894.81 = 152,894.81 : x
  2. Step 2: Convert to fraction form
    114,640.13/152,894.81 = 152,894.81/x
  3. Step 3: Cross multiply
    114,640.13x = 152,894.81 × 152,894.81
  4. Step 4: Simplify right side
    114,640.13x = 23,376,823,689.41
  5. Step 5: Solve for x
    x = 23,376,823,689.41/114,640.13
  6. Step 6: Final answer
    x = 203,914.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.