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Finding the Third Proportional to 52,541 and 78,621

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Solution

The third proportional to 52,541 and 78,621 is: 117,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,541 : 78,621 = 78,621 : x
  2. Step 2: Convert to fraction form
    52,541/78,621 = 78,621/x
  3. Step 3: Cross multiply
    52,541x = 78,621 × 78,621
  4. Step 4: Simplify right side
    52,541x = 6,181,261,641
  5. Step 5: Solve for x
    x = 6,181,261,641/52,541
  6. Step 6: Final answer
    x = 117,646.44

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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.