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Finding the Third Proportional to 83,850.38 and 124,634.63

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Solution

The third proportional to 83,850.38 and 124,634.63 is: 185,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,850.38 : 124,634.63 = 124,634.63 : x
  2. Step 2: Convert to fraction form
    83,850.38/124,634.63 = 124,634.63/x
  3. Step 3: Cross multiply
    83,850.38x = 124,634.63 × 124,634.63
  4. Step 4: Simplify right side
    83,850.38x = 15,533,789,748.89
  5. Step 5: Solve for x
    x = 15,533,789,748.89/83,850.38
  6. Step 6: Final answer
    x = 185,256.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.