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Finding the Third Proportional to 44,452 and 90,688

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Solution

The third proportional to 44,452 and 90,688 is: 185,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,452 : 90,688 = 90,688 : x
  2. Step 2: Convert to fraction form
    44,452/90,688 = 90,688/x
  3. Step 3: Cross multiply
    44,452x = 90,688 × 90,688
  4. Step 4: Simplify right side
    44,452x = 8,224,313,344
  5. Step 5: Solve for x
    x = 8,224,313,344/44,452
  6. Step 6: Final answer
    x = 185,015.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.