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Finding the Third Proportional to 43,709 and 93,790

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Solution

The third proportional to 43,709 and 93,790 is: 201,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,709 : 93,790 = 93,790 : x
  2. Step 2: Convert to fraction form
    43,709/93,790 = 93,790/x
  3. Step 3: Cross multiply
    43,709x = 93,790 × 93,790
  4. Step 4: Simplify right side
    43,709x = 8,796,564,100
  5. Step 5: Solve for x
    x = 8,796,564,100/43,709
  6. Step 6: Final answer
    x = 201,252.93

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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.