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Finding the Third Proportional to 58,772 and 126,895

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Solution

The third proportional to 58,772 and 126,895 is: 273,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,772 : 126,895 = 126,895 : x
  2. Step 2: Convert to fraction form
    58,772/126,895 = 126,895/x
  3. Step 3: Cross multiply
    58,772x = 126,895 × 126,895
  4. Step 4: Simplify right side
    58,772x = 16,102,341,025
  5. Step 5: Solve for x
    x = 16,102,341,025/58,772
  6. Step 6: Final answer
    x = 273,979.80

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