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Finding the Third Proportional to 82,265.25 and 124,410.38

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Solution

The third proportional to 82,265.25 and 124,410.38 is: 188,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,265.25 : 124,410.38 = 124,410.38 : x
  2. Step 2: Convert to fraction form
    82,265.25/124,410.38 = 124,410.38/x
  3. Step 3: Cross multiply
    82,265.25x = 124,410.38 × 124,410.38
  4. Step 4: Simplify right side
    82,265.25x = 15,477,941,407.64
  5. Step 5: Solve for x
    x = 15,477,941,407.64/82,265.25
  6. Step 6: Final answer
    x = 188,146.77

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