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Finding the Third Proportional to 52,529 and 78,607.75

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Solution

The third proportional to 52,529 and 78,607.75 is: 117,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,529 : 78,607.75 = 78,607.75 : x
  2. Step 2: Convert to fraction form
    52,529/78,607.75 = 78,607.75/x
  3. Step 3: Cross multiply
    52,529x = 78,607.75 × 78,607.75
  4. Step 4: Simplify right side
    52,529x = 6,179,178,360.06
  5. Step 5: Solve for x
    x = 6,179,178,360.06/52,529
  6. Step 6: Final answer
    x = 117,633.66

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Why These Related Problems?

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