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Finding the Third Proportional to 63,430 and 94,993

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Solution

The third proportional to 63,430 and 94,993 is: 142,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,430 : 94,993 = 94,993 : x
  2. Step 2: Convert to fraction form
    63,430/94,993 = 94,993/x
  3. Step 3: Cross multiply
    63,430x = 94,993 × 94,993
  4. Step 4: Simplify right side
    63,430x = 9,023,670,049
  5. Step 5: Solve for x
    x = 9,023,670,049/63,430
  6. Step 6: Final answer
    x = 142,261.86

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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.