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Finding the Third Proportional to 82,669.36 and 111,700.27

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Solution

The third proportional to 82,669.36 and 111,700.27 is: 150,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,669.36 : 111,700.27 = 111,700.27 : x
  2. Step 2: Convert to fraction form
    82,669.36/111,700.27 = 111,700.27/x
  3. Step 3: Cross multiply
    82,669.36x = 111,700.27 × 111,700.27
  4. Step 4: Simplify right side
    82,669.36x = 12,476,949,340.70
  5. Step 5: Solve for x
    x = 12,476,949,340.70/82,669.36
  6. Step 6: Final answer
    x = 150,925.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.