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Finding the Third Proportional to 58,066 and 126,702

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Solution

The third proportional to 58,066 and 126,702 is: 276,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,066 : 126,702 = 126,702 : x
  2. Step 2: Convert to fraction form
    58,066/126,702 = 126,702/x
  3. Step 3: Cross multiply
    58,066x = 126,702 × 126,702
  4. Step 4: Simplify right side
    58,066x = 16,053,396,804
  5. Step 5: Solve for x
    x = 16,053,396,804/58,066
  6. Step 6: Final answer
    x = 276,468.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.