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Finding the Third Proportional to 28,166 and 59,785

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Solution

The third proportional to 28,166 and 59,785 is: 126,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,166 : 59,785 = 59,785 : x
  2. Step 2: Convert to fraction form
    28,166/59,785 = 59,785/x
  3. Step 3: Cross multiply
    28,166x = 59,785 × 59,785
  4. Step 4: Simplify right side
    28,166x = 3,574,246,225
  5. Step 5: Solve for x
    x = 3,574,246,225/28,166
  6. Step 6: Final answer
    x = 126,899.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.