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Finding the Third Proportional to 52,943 and 79,405

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Solution

The third proportional to 52,943 and 79,405 is: 119,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,943 : 79,405 = 79,405 : x
  2. Step 2: Convert to fraction form
    52,943/79,405 = 79,405/x
  3. Step 3: Cross multiply
    52,943x = 79,405 × 79,405
  4. Step 4: Simplify right side
    52,943x = 6,305,154,025
  5. Step 5: Solve for x
    x = 6,305,154,025/52,943
  6. Step 6: Final answer
    x = 119,093.25

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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.