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Finding the Third Proportional to 58,583.25 and 121,321.13

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Solution

The third proportional to 58,583.25 and 121,321.13 is: 251,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,583.25 : 121,321.13 = 121,321.13 : x
  2. Step 2: Convert to fraction form
    58,583.25/121,321.13 = 121,321.13/x
  3. Step 3: Cross multiply
    58,583.25x = 121,321.13 × 121,321.13
  4. Step 4: Simplify right side
    58,583.25x = 14,718,815,371.27
  5. Step 5: Solve for x
    x = 14,718,815,371.27/58,583.25
  6. Step 6: Final answer
    x = 251,246.14

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.