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Finding the Third Proportional to 59,814.28 and 130,494.38

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Solution

The third proportional to 59,814.28 and 130,494.38 is: 284,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,814.28 : 130,494.38 = 130,494.38 : x
  2. Step 2: Convert to fraction form
    59,814.28/130,494.38 = 130,494.38/x
  3. Step 3: Cross multiply
    59,814.28x = 130,494.38 × 130,494.38
  4. Step 4: Simplify right side
    59,814.28x = 17,028,781,906.64
  5. Step 5: Solve for x
    x = 17,028,781,906.64/59,814.28
  6. Step 6: Final answer
    x = 284,694.25

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