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Finding the Third Proportional to 73,134 and 156,628

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Solution

The third proportional to 73,134 and 156,628 is: 335,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,134 : 156,628 = 156,628 : x
  2. Step 2: Convert to fraction form
    73,134/156,628 = 156,628/x
  3. Step 3: Cross multiply
    73,134x = 156,628 × 156,628
  4. Step 4: Simplify right side
    73,134x = 24,532,330,384
  5. Step 5: Solve for x
    x = 24,532,330,384/73,134
  6. Step 6: Final answer
    x = 335,443.57

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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.