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Finding the Third Proportional to 62,460 and 84,450

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Solution

The third proportional to 62,460 and 84,450 is: 114,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,460 : 84,450 = 84,450 : x
  2. Step 2: Convert to fraction form
    62,460/84,450 = 84,450/x
  3. Step 3: Cross multiply
    62,460x = 84,450 × 84,450
  4. Step 4: Simplify right side
    62,460x = 7,131,802,500
  5. Step 5: Solve for x
    x = 7,131,802,500/62,460
  6. Step 6: Final answer
    x = 114,181.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.