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Finding the Third Proportional to 53,018.25 and 112,171.75

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Solution

The third proportional to 53,018.25 and 112,171.75 is: 237,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018.25 : 112,171.75 = 112,171.75 : x
  2. Step 2: Convert to fraction form
    53,018.25/112,171.75 = 112,171.75/x
  3. Step 3: Cross multiply
    53,018.25x = 112,171.75 × 112,171.75
  4. Step 4: Simplify right side
    53,018.25x = 12,582,501,498.06
  5. Step 5: Solve for x
    x = 12,582,501,498.06/53,018.25
  6. Step 6: Final answer
    x = 237,323.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.