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Finding the Third Proportional to 82,296 and 124,047

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Solution

The third proportional to 82,296 and 124,047 is: 186,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296 : 124,047 = 124,047 : x
  2. Step 2: Convert to fraction form
    82,296/124,047 = 124,047/x
  3. Step 3: Cross multiply
    82,296x = 124,047 × 124,047
  4. Step 4: Simplify right side
    82,296x = 15,387,658,209
  5. Step 5: Solve for x
    x = 15,387,658,209/82,296
  6. Step 6: Final answer
    x = 186,979.42

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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.