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Finding the Third Proportional to 57,796 and 90,688

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Solution

The third proportional to 57,796 and 90,688 is: 142,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796 : 90,688 = 90,688 : x
  2. Step 2: Convert to fraction form
    57,796/90,688 = 90,688/x
  3. Step 3: Cross multiply
    57,796x = 90,688 × 90,688
  4. Step 4: Simplify right side
    57,796x = 8,224,313,344
  5. Step 5: Solve for x
    x = 8,224,313,344/57,796
  6. Step 6: Final answer
    x = 142,299.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.