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Finding the Third Proportional to 52,947 and 79,407

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Solution

The third proportional to 52,947 and 79,407 is: 119,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,947 : 79,407 = 79,407 : x
  2. Step 2: Convert to fraction form
    52,947/79,407 = 79,407/x
  3. Step 3: Cross multiply
    52,947x = 79,407 × 79,407
  4. Step 4: Simplify right side
    52,947x = 6,305,471,649
  5. Step 5: Solve for x
    x = 6,305,471,649/52,947
  6. Step 6: Final answer
    x = 119,090.25

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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.