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Finding the Third Proportional to 72,596.25 and 159,215.63

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Solution

The third proportional to 72,596.25 and 159,215.63 is: 349,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,596.25 : 159,215.63 = 159,215.63 : x
  2. Step 2: Convert to fraction form
    72,596.25/159,215.63 = 159,215.63/x
  3. Step 3: Cross multiply
    72,596.25x = 159,215.63 × 159,215.63
  4. Step 4: Simplify right side
    72,596.25x = 25,349,615,244.14
  5. Step 5: Solve for x
    x = 25,349,615,244.14/72,596.25
  6. Step 6: Final answer
    x = 349,186.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.