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Finding the Third Proportional to 58,471.13 and 126,296.63

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Solution

The third proportional to 58,471.13 and 126,296.63 is: 272,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471.13 : 126,296.63 = 126,296.63 : x
  2. Step 2: Convert to fraction form
    58,471.13/126,296.63 = 126,296.63/x
  3. Step 3: Cross multiply
    58,471.13x = 126,296.63 × 126,296.63
  4. Step 4: Simplify right side
    58,471.13x = 15,950,837,486.39
  5. Step 5: Solve for x
    x = 15,950,837,486.39/58,471.13
  6. Step 6: Final answer
    x = 272,798.54

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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.