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Finding the Third Proportional to 73,071.56 and 157,021.31

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Solution

The third proportional to 73,071.56 and 157,021.31 is: 337,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071.56 : 157,021.31 = 157,021.31 : x
  2. Step 2: Convert to fraction form
    73,071.56/157,021.31 = 157,021.31/x
  3. Step 3: Cross multiply
    73,071.56x = 157,021.31 × 157,021.31
  4. Step 4: Simplify right side
    73,071.56x = 24,655,692,579.22
  5. Step 5: Solve for x
    x = 24,655,692,579.22/73,071.56
  6. Step 6: Final answer
    x = 337,418.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.