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Finding the Third Proportional to 52,089 and 73,754

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Solution

The third proportional to 52,089 and 73,754 is: 104,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,089 : 73,754 = 73,754 : x
  2. Step 2: Convert to fraction form
    52,089/73,754 = 73,754/x
  3. Step 3: Cross multiply
    52,089x = 73,754 × 73,754
  4. Step 4: Simplify right side
    52,089x = 5,439,652,516
  5. Step 5: Solve for x
    x = 5,439,652,516/52,089
  6. Step 6: Final answer
    x = 104,429.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.