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Finding the Third Proportional to 82,993 and 124,550

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Solution

The third proportional to 82,993 and 124,550 is: 186,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993 : 124,550 = 124,550 : x
  2. Step 2: Convert to fraction form
    82,993/124,550 = 124,550/x
  3. Step 3: Cross multiply
    82,993x = 124,550 × 124,550
  4. Step 4: Simplify right side
    82,993x = 15,512,702,500
  5. Step 5: Solve for x
    x = 15,512,702,500/82,993
  6. Step 6: Final answer
    x = 186,915.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.