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Finding the Third Proportional to 52,028 and 79,012

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Solution

The third proportional to 52,028 and 79,012 is: 119,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028 : 79,012 = 79,012 : x
  2. Step 2: Convert to fraction form
    52,028/79,012 = 79,012/x
  3. Step 3: Cross multiply
    52,028x = 79,012 × 79,012
  4. Step 4: Simplify right side
    52,028x = 6,242,896,144
  5. Step 5: Solve for x
    x = 6,242,896,144/52,028
  6. Step 6: Final answer
    x = 119,991.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.