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Finding the Third Proportional to 107,712 and 230,086

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Solution

The third proportional to 107,712 and 230,086 is: 491,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712 : 230,086 = 230,086 : x
  2. Step 2: Convert to fraction form
    107,712/230,086 = 230,086/x
  3. Step 3: Cross multiply
    107,712x = 230,086 × 230,086
  4. Step 4: Simplify right side
    107,712x = 52,939,567,396
  5. Step 5: Solve for x
    x = 52,939,567,396/107,712
  6. Step 6: Final answer
    x = 491,491.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.