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Finding the Third Proportional to 104,032 and 157,141.25

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Solution

The third proportional to 104,032 and 157,141.25 is: 237,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,032 : 157,141.25 = 157,141.25 : x
  2. Step 2: Convert to fraction form
    104,032/157,141.25 = 157,141.25/x
  3. Step 3: Cross multiply
    104,032x = 157,141.25 × 157,141.25
  4. Step 4: Simplify right side
    104,032x = 24,693,372,451.56
  5. Step 5: Solve for x
    x = 24,693,372,451.56/104,032
  6. Step 6: Final answer
    x = 237,363.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.