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Finding the Third Proportional to 58,494 and 126,705

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Solution

The third proportional to 58,494 and 126,705 is: 274,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,494 : 126,705 = 126,705 : x
  2. Step 2: Convert to fraction form
    58,494/126,705 = 126,705/x
  3. Step 3: Cross multiply
    58,494x = 126,705 × 126,705
  4. Step 4: Simplify right side
    58,494x = 16,054,157,025
  5. Step 5: Solve for x
    x = 16,054,157,025/58,494
  6. Step 6: Final answer
    x = 274,458.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.