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Finding the Third Proportional to 73,061 and 156,637

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Solution

The third proportional to 73,061 and 156,637 is: 335,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,061 : 156,637 = 156,637 : x
  2. Step 2: Convert to fraction form
    73,061/156,637 = 156,637/x
  3. Step 3: Cross multiply
    73,061x = 156,637 × 156,637
  4. Step 4: Simplify right side
    73,061x = 24,535,149,769
  5. Step 5: Solve for x
    x = 24,535,149,769/73,061
  6. Step 6: Final answer
    x = 335,817.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.