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Finding the Third Proportional to 52,973 and 76,533

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Solution

The third proportional to 52,973 and 76,533 is: 110,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,973 : 76,533 = 76,533 : x
  2. Step 2: Convert to fraction form
    52,973/76,533 = 76,533/x
  3. Step 3: Cross multiply
    52,973x = 76,533 × 76,533
  4. Step 4: Simplify right side
    52,973x = 5,857,300,089
  5. Step 5: Solve for x
    x = 5,857,300,089/52,973
  6. Step 6: Final answer
    x = 110,571.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.