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Finding the Third Proportional to 130,086 and 206,124.75

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Solution

The third proportional to 130,086 and 206,124.75 is: 326,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,086 : 206,124.75 = 206,124.75 : x
  2. Step 2: Convert to fraction form
    130,086/206,124.75 = 206,124.75/x
  3. Step 3: Cross multiply
    130,086x = 206,124.75 × 206,124.75
  4. Step 4: Simplify right side
    130,086x = 42,487,412,562.56
  5. Step 5: Solve for x
    x = 42,487,412,562.56/130,086
  6. Step 6: Final answer
    x = 326,610.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.