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Finding the Third Proportional to 56,079 and 83,309

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Solution

The third proportional to 56,079 and 83,309 is: 123,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,079 : 83,309 = 83,309 : x
  2. Step 2: Convert to fraction form
    56,079/83,309 = 83,309/x
  3. Step 3: Cross multiply
    56,079x = 83,309 × 83,309
  4. Step 4: Simplify right side
    56,079x = 6,940,389,481
  5. Step 5: Solve for x
    x = 6,940,389,481/56,079
  6. Step 6: Final answer
    x = 123,760.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.