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Finding the Third Proportional to 80,142 and 173,130

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Solution

The third proportional to 80,142 and 173,130 is: 374,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,142 : 173,130 = 173,130 : x
  2. Step 2: Convert to fraction form
    80,142/173,130 = 173,130/x
  3. Step 3: Cross multiply
    80,142x = 173,130 × 173,130
  4. Step 4: Simplify right side
    80,142x = 29,973,996,900
  5. Step 5: Solve for x
    x = 29,973,996,900/80,142
  6. Step 6: Final answer
    x = 374,011.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.