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Finding the Third Proportional to 104,111.44 and 157,448.81

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Solution

The third proportional to 104,111.44 and 157,448.81 is: 238,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,111.44 : 157,448.81 = 157,448.81 : x
  2. Step 2: Convert to fraction form
    104,111.44/157,448.81 = 157,448.81/x
  3. Step 3: Cross multiply
    104,111.44x = 157,448.81 × 157,448.81
  4. Step 4: Simplify right side
    104,111.44x = 24,790,128,557.66
  5. Step 5: Solve for x
    x = 24,790,128,557.66/104,111.44
  6. Step 6: Final answer
    x = 238,111.48

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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.