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Finding the Third Proportional to 100,465.31 and 136,816.59

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Solution

The third proportional to 100,465.31 and 136,816.59 is: 186,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,465.31 : 136,816.59 = 136,816.59 : x
  2. Step 2: Convert to fraction form
    100,465.31/136,816.59 = 136,816.59/x
  3. Step 3: Cross multiply
    100,465.31x = 136,816.59 × 136,816.59
  4. Step 4: Simplify right side
    100,465.31x = 18,718,780,325.35
  5. Step 5: Solve for x
    x = 18,718,780,325.35/100,465.31
  6. Step 6: Final answer
    x = 186,320.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.