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Finding the Third Proportional to 74,832.75 and 159,368.06

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Solution

The third proportional to 74,832.75 and 159,368.06 is: 339,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,832.75 : 159,368.06 = 159,368.06 : x
  2. Step 2: Convert to fraction form
    74,832.75/159,368.06 = 159,368.06/x
  3. Step 3: Cross multiply
    74,832.75x = 159,368.06 × 159,368.06
  4. Step 4: Simplify right side
    74,832.75x = 25,398,179,345.00
  5. Step 5: Solve for x
    x = 25,398,179,345.00/74,832.75
  6. Step 6: Final answer
    x = 339,399.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.