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Finding the Third Proportional to 62,746 and 135,266

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Solution

The third proportional to 62,746 and 135,266 is: 291,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,746 : 135,266 = 135,266 : x
  2. Step 2: Convert to fraction form
    62,746/135,266 = 135,266/x
  3. Step 3: Cross multiply
    62,746x = 135,266 × 135,266
  4. Step 4: Simplify right side
    62,746x = 18,296,890,756
  5. Step 5: Solve for x
    x = 18,296,890,756/62,746
  6. Step 6: Final answer
    x = 291,602.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.