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Finding the Third Proportional to 62,852 and 90,894

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Solution

The third proportional to 62,852 and 90,894 is: 131,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,852 : 90,894 = 90,894 : x
  2. Step 2: Convert to fraction form
    62,852/90,894 = 90,894/x
  3. Step 3: Cross multiply
    62,852x = 90,894 × 90,894
  4. Step 4: Simplify right side
    62,852x = 8,261,719,236
  5. Step 5: Solve for x
    x = 8,261,719,236/62,852
  6. Step 6: Final answer
    x = 131,447.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.