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Finding the Third Proportional to 62,456 and 90,280

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Solution

The third proportional to 62,456 and 90,280 is: 130,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,456 : 90,280 = 90,280 : x
  2. Step 2: Convert to fraction form
    62,456/90,280 = 90,280/x
  3. Step 3: Cross multiply
    62,456x = 90,280 × 90,280
  4. Step 4: Simplify right side
    62,456x = 8,150,478,400
  5. Step 5: Solve for x
    x = 8,150,478,400/62,456
  6. Step 6: Final answer
    x = 130,499.53

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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.