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Finding the Third Proportional to 27,192 and 59,730

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Solution

The third proportional to 27,192 and 59,730 is: 131,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192 : 59,730 = 59,730 : x
  2. Step 2: Convert to fraction form
    27,192/59,730 = 59,730/x
  3. Step 3: Cross multiply
    27,192x = 59,730 × 59,730
  4. Step 4: Simplify right side
    27,192x = 3,567,672,900
  5. Step 5: Solve for x
    x = 3,567,672,900/27,192
  6. Step 6: Final answer
    x = 131,203.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.