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Finding the Third Proportional to 62,563 and 93,926

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Solution

The third proportional to 62,563 and 93,926 is: 141,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,563 : 93,926 = 93,926 : x
  2. Step 2: Convert to fraction form
    62,563/93,926 = 93,926/x
  3. Step 3: Cross multiply
    62,563x = 93,926 × 93,926
  4. Step 4: Simplify right side
    62,563x = 8,822,093,476
  5. Step 5: Solve for x
    x = 8,822,093,476/62,563
  6. Step 6: Final answer
    x = 141,011.36

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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.