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Finding the Third Proportional to 62,649 and 94,095

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Solution

The third proportional to 62,649 and 94,095 is: 141,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,649 : 94,095 = 94,095 : x
  2. Step 2: Convert to fraction form
    62,649/94,095 = 94,095/x
  3. Step 3: Cross multiply
    62,649x = 94,095 × 94,095
  4. Step 4: Simplify right side
    62,649x = 8,853,869,025
  5. Step 5: Solve for x
    x = 8,853,869,025/62,649
  6. Step 6: Final answer
    x = 141,324.99

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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.