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Finding the Third Proportional to 68,636.53 and 102,589.03

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Solution

The third proportional to 68,636.53 and 102,589.03 is: 153,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,636.53 : 102,589.03 = 102,589.03 : x
  2. Step 2: Convert to fraction form
    68,636.53/102,589.03 = 102,589.03/x
  3. Step 3: Cross multiply
    68,636.53x = 102,589.03 × 102,589.03
  4. Step 4: Simplify right side
    68,636.53x = 10,524,509,332.81
  5. Step 5: Solve for x
    x = 10,524,509,332.81/68,636.53
  6. Step 6: Final answer
    x = 153,336.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.