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Finding the Third Proportional to 43,709 and 95,842

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Solution

The third proportional to 43,709 and 95,842 is: 210,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,709 : 95,842 = 95,842 : x
  2. Step 2: Convert to fraction form
    43,709/95,842 = 95,842/x
  3. Step 3: Cross multiply
    43,709x = 95,842 × 95,842
  4. Step 4: Simplify right side
    43,709x = 9,185,688,964
  5. Step 5: Solve for x
    x = 9,185,688,964/43,709
  6. Step 6: Final answer
    x = 210,155.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.