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Finding the Third Proportional to 52,529 and 78,609

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Solution

The third proportional to 52,529 and 78,609 is: 117,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,529 : 78,609 = 78,609 : x
  2. Step 2: Convert to fraction form
    52,529/78,609 = 78,609/x
  3. Step 3: Cross multiply
    52,529x = 78,609 × 78,609
  4. Step 4: Simplify right side
    52,529x = 6,179,374,881
  5. Step 5: Solve for x
    x = 6,179,374,881/52,529
  6. Step 6: Final answer
    x = 117,637.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.