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Finding the Third Proportional to 82,365 and 124,224.75

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Solution

The third proportional to 82,365 and 124,224.75 is: 187,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365 : 124,224.75 = 124,224.75 : x
  2. Step 2: Convert to fraction form
    82,365/124,224.75 = 124,224.75/x
  3. Step 3: Cross multiply
    82,365x = 124,224.75 × 124,224.75
  4. Step 4: Simplify right side
    82,365x = 15,431,788,512.56
  5. Step 5: Solve for x
    x = 15,431,788,512.56/82,365
  6. Step 6: Final answer
    x = 187,358.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.