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Finding the Third Proportional to 126,487.13 and 189,046.69

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Solution

The third proportional to 126,487.13 and 189,046.69 is: 282,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,487.13 : 189,046.69 = 189,046.69 : x
  2. Step 2: Convert to fraction form
    126,487.13/189,046.69 = 189,046.69/x
  3. Step 3: Cross multiply
    126,487.13x = 189,046.69 × 189,046.69
  4. Step 4: Simplify right side
    126,487.13x = 35,738,650,054.72
  5. Step 5: Solve for x
    x = 35,738,650,054.72/126,487.13
  6. Step 6: Final answer
    x = 282,547.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.