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Finding the Third Proportional to 63,493 and 94,928

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Solution

The third proportional to 63,493 and 94,928 is: 141,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,493 : 94,928 = 94,928 : x
  2. Step 2: Convert to fraction form
    63,493/94,928 = 94,928/x
  3. Step 3: Cross multiply
    63,493x = 94,928 × 94,928
  4. Step 4: Simplify right side
    63,493x = 9,011,325,184
  5. Step 5: Solve for x
    x = 9,011,325,184/63,493
  6. Step 6: Final answer
    x = 141,926.28

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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.