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Finding the Third Proportional to 73,273 and 156,913

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Solution

The third proportional to 73,273 and 156,913 is: 336,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,273 : 156,913 = 156,913 : x
  2. Step 2: Convert to fraction form
    73,273/156,913 = 156,913/x
  3. Step 3: Cross multiply
    73,273x = 156,913 × 156,913
  4. Step 4: Simplify right side
    73,273x = 24,621,689,569
  5. Step 5: Solve for x
    x = 24,621,689,569/73,273
  6. Step 6: Final answer
    x = 336,026.77

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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.