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Finding the Third Proportional to 53,421.75 and 83,049

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Solution

The third proportional to 53,421.75 and 83,049 is: 129,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,421.75 : 83,049 = 83,049 : x
  2. Step 2: Convert to fraction form
    53,421.75/83,049 = 83,049/x
  3. Step 3: Cross multiply
    53,421.75x = 83,049 × 83,049
  4. Step 4: Simplify right side
    53,421.75x = 6,897,136,401
  5. Step 5: Solve for x
    x = 6,897,136,401/53,421.75
  6. Step 6: Final answer
    x = 129,107.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.