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Finding the Third Proportional to 103,388.48 and 158,124.23

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Solution

The third proportional to 103,388.48 and 158,124.23 is: 241,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,388.48 : 158,124.23 = 158,124.23 : x
  2. Step 2: Convert to fraction form
    103,388.48/158,124.23 = 158,124.23/x
  3. Step 3: Cross multiply
    103,388.48x = 158,124.23 × 158,124.23
  4. Step 4: Simplify right side
    103,388.48x = 25,003,273,496.68
  5. Step 5: Solve for x
    x = 25,003,273,496.68/103,388.48
  6. Step 6: Final answer
    x = 241,838.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.