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Finding the Third Proportional to 52,950 and 74,061

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Solution

The third proportional to 52,950 and 74,061 is: 103,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,950 : 74,061 = 74,061 : x
  2. Step 2: Convert to fraction form
    52,950/74,061 = 74,061/x
  3. Step 3: Cross multiply
    52,950x = 74,061 × 74,061
  4. Step 4: Simplify right side
    52,950x = 5,485,031,721
  5. Step 5: Solve for x
    x = 5,485,031,721/52,950
  6. Step 6: Final answer
    x = 103,588.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.