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Finding the Third Proportional to 82,115.02 and 123,633.84

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Solution

The third proportional to 82,115.02 and 123,633.84 is: 186,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.02 : 123,633.84 = 123,633.84 : x
  2. Step 2: Convert to fraction form
    82,115.02/123,633.84 = 123,633.84/x
  3. Step 3: Cross multiply
    82,115.02x = 123,633.84 × 123,633.84
  4. Step 4: Simplify right side
    82,115.02x = 15,285,327,320.40
  5. Step 5: Solve for x
    x = 15,285,327,320.40/82,115.02
  6. Step 6: Final answer
    x = 186,145.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.