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Finding the Third Proportional to 52,014 and 74,379

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Solution

The third proportional to 52,014 and 74,379 is: 106,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014 : 74,379 = 74,379 : x
  2. Step 2: Convert to fraction form
    52,014/74,379 = 74,379/x
  3. Step 3: Cross multiply
    52,014x = 74,379 × 74,379
  4. Step 4: Simplify right side
    52,014x = 5,532,235,641
  5. Step 5: Solve for x
    x = 5,532,235,641/52,014
  6. Step 6: Final answer
    x = 106,360.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.