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Finding the Third Proportional to 59,730.75 and 128,314.97

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Solution

The third proportional to 59,730.75 and 128,314.97 is: 275,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,730.75 : 128,314.97 = 128,314.97 : x
  2. Step 2: Convert to fraction form
    59,730.75/128,314.97 = 128,314.97/x
  3. Step 3: Cross multiply
    59,730.75x = 128,314.97 × 128,314.97
  4. Step 4: Simplify right side
    59,730.75x = 16,464,731,205.31
  5. Step 5: Solve for x
    x = 16,464,731,205.31/59,730.75
  6. Step 6: Final answer
    x = 275,649.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.