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Finding the Third Proportional to 73,064 and 157,053

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Solution

The third proportional to 73,064 and 157,053 is: 337,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064 : 157,053 = 157,053 : x
  2. Step 2: Convert to fraction form
    73,064/157,053 = 157,053/x
  3. Step 3: Cross multiply
    73,064x = 157,053 × 157,053
  4. Step 4: Simplify right side
    73,064x = 24,665,644,809
  5. Step 5: Solve for x
    x = 24,665,644,809/73,064
  6. Step 6: Final answer
    x = 337,589.58

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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.