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Finding the Third Proportional to 63,462 and 89,145

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Solution

The third proportional to 63,462 and 89,145 is: 125,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,462 : 89,145 = 89,145 : x
  2. Step 2: Convert to fraction form
    63,462/89,145 = 89,145/x
  3. Step 3: Cross multiply
    63,462x = 89,145 × 89,145
  4. Step 4: Simplify right side
    63,462x = 7,946,831,025
  5. Step 5: Solve for x
    x = 7,946,831,025/63,462
  6. Step 6: Final answer
    x = 125,221.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.