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Finding the Third Proportional to 73,072.88 and 157,024.50

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Solution

The third proportional to 73,072.88 and 157,024.50 is: 337,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072.88 : 157,024.50 = 157,024.50 : x
  2. Step 2: Convert to fraction form
    73,072.88/157,024.50 = 157,024.50/x
  3. Step 3: Cross multiply
    73,072.88x = 157,024.50 × 157,024.50
  4. Step 4: Simplify right side
    73,072.88x = 24,656,693,600.25
  5. Step 5: Solve for x
    x = 24,656,693,600.25/73,072.88
  6. Step 6: Final answer
    x = 337,426.08

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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.