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Finding the Third Proportional to 53,629 and 85,049

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Solution

The third proportional to 53,629 and 85,049 is: 134,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,629 : 85,049 = 85,049 : x
  2. Step 2: Convert to fraction form
    53,629/85,049 = 85,049/x
  3. Step 3: Cross multiply
    53,629x = 85,049 × 85,049
  4. Step 4: Simplify right side
    53,629x = 7,233,332,401
  5. Step 5: Solve for x
    x = 7,233,332,401/53,629
  6. Step 6: Final answer
    x = 134,877.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.