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Finding the Third Proportional to 52,029 and 79,992

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Solution

The third proportional to 52,029 and 79,992 is: 122,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029 : 79,992 = 79,992 : x
  2. Step 2: Convert to fraction form
    52,029/79,992 = 79,992/x
  3. Step 3: Cross multiply
    52,029x = 79,992 × 79,992
  4. Step 4: Simplify right side
    52,029x = 6,398,720,064
  5. Step 5: Solve for x
    x = 6,398,720,064/52,029
  6. Step 6: Final answer
    x = 122,983.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.