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Finding the Third Proportional to 82,929.25 and 124,991.25

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Solution

The third proportional to 82,929.25 and 124,991.25 is: 188,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,929.25 : 124,991.25 = 124,991.25 : x
  2. Step 2: Convert to fraction form
    82,929.25/124,991.25 = 124,991.25/x
  3. Step 3: Cross multiply
    82,929.25x = 124,991.25 × 124,991.25
  4. Step 4: Simplify right side
    82,929.25x = 15,622,812,576.56
  5. Step 5: Solve for x
    x = 15,622,812,576.56/82,929.25
  6. Step 6: Final answer
    x = 188,387.24

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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.