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Finding the Third Proportional to 59,170.92 and 83,228.13

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Solution

The third proportional to 59,170.92 and 83,228.13 is: 117,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,170.92 : 83,228.13 = 83,228.13 : x
  2. Step 2: Convert to fraction form
    59,170.92/83,228.13 = 83,228.13/x
  3. Step 3: Cross multiply
    59,170.92x = 83,228.13 × 83,228.13
  4. Step 4: Simplify right side
    59,170.92x = 6,926,922,091.46
  5. Step 5: Solve for x
    x = 6,926,922,091.46/59,170.92
  6. Step 6: Final answer
    x = 117,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.