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Finding the Third Proportional to 43,206 and 64,737

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Solution

The third proportional to 43,206 and 64,737 is: 96,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 64,737 = 64,737 : x
  2. Step 2: Convert to fraction form
    43,206/64,737 = 64,737/x
  3. Step 3: Cross multiply
    43,206x = 64,737 × 64,737
  4. Step 4: Simplify right side
    43,206x = 4,190,879,169
  5. Step 5: Solve for x
    x = 4,190,879,169/43,206
  6. Step 6: Final answer
    x = 96,997.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.