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Finding the Third Proportional to 82,298 and 124,603

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Solution

The third proportional to 82,298 and 124,603 is: 188,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,298 : 124,603 = 124,603 : x
  2. Step 2: Convert to fraction form
    82,298/124,603 = 124,603/x
  3. Step 3: Cross multiply
    82,298x = 124,603 × 124,603
  4. Step 4: Simplify right side
    82,298x = 15,525,907,609
  5. Step 5: Solve for x
    x = 15,525,907,609/82,298
  6. Step 6: Final answer
    x = 188,654.74

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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.