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Finding the Third Proportional to 147,912.75 and 172,928.25

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Solution

The third proportional to 147,912.75 and 172,928.25 is: 202,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,912.75 : 172,928.25 = 172,928.25 : x
  2. Step 2: Convert to fraction form
    147,912.75/172,928.25 = 172,928.25/x
  3. Step 3: Cross multiply
    147,912.75x = 172,928.25 × 172,928.25
  4. Step 4: Simplify right side
    147,912.75x = 29,904,179,648.06
  5. Step 5: Solve for x
    x = 29,904,179,648.06/147,912.75
  6. Step 6: Final answer
    x = 202,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.