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Finding the Third Proportional to 65,940.19 and 102,039.19

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Solution

The third proportional to 65,940.19 and 102,039.19 is: 157,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,940.19 : 102,039.19 = 102,039.19 : x
  2. Step 2: Convert to fraction form
    65,940.19/102,039.19 = 102,039.19/x
  3. Step 3: Cross multiply
    65,940.19x = 102,039.19 × 102,039.19
  4. Step 4: Simplify right side
    65,940.19x = 10,411,995,785.66
  5. Step 5: Solve for x
    x = 10,411,995,785.66/65,940.19
  6. Step 6: Final answer
    x = 157,900.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.