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Finding the Third Proportional to 92,059 and 124,963

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Solution

The third proportional to 92,059 and 124,963 is: 169,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,059 : 124,963 = 124,963 : x
  2. Step 2: Convert to fraction form
    92,059/124,963 = 124,963/x
  3. Step 3: Cross multiply
    92,059x = 124,963 × 124,963
  4. Step 4: Simplify right side
    92,059x = 15,615,751,369
  5. Step 5: Solve for x
    x = 15,615,751,369/92,059
  6. Step 6: Final answer
    x = 169,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.