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Finding the Third Proportional to 52,027 and 79,010

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Solution

The third proportional to 52,027 and 79,010 is: 119,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,027 : 79,010 = 79,010 : x
  2. Step 2: Convert to fraction form
    52,027/79,010 = 79,010/x
  3. Step 3: Cross multiply
    52,027x = 79,010 × 79,010
  4. Step 4: Simplify right side
    52,027x = 6,242,580,100
  5. Step 5: Solve for x
    x = 6,242,580,100/52,027
  6. Step 6: Final answer
    x = 119,987.32

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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.