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Finding the Third Proportional to 82,993.50 and 125,742.38

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Solution

The third proportional to 82,993.50 and 125,742.38 is: 190,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.50 : 125,742.38 = 125,742.38 : x
  2. Step 2: Convert to fraction form
    82,993.50/125,742.38 = 125,742.38/x
  3. Step 3: Cross multiply
    82,993.50x = 125,742.38 × 125,742.38
  4. Step 4: Simplify right side
    82,993.50x = 15,811,144,870.64
  5. Step 5: Solve for x
    x = 15,811,144,870.64/82,993.50
  6. Step 6: Final answer
    x = 190,510.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.