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Finding the Third Proportional to 43,506 and 95,001

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Solution

The third proportional to 43,506 and 95,001 is: 207,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506 : 95,001 = 95,001 : x
  2. Step 2: Convert to fraction form
    43,506/95,001 = 95,001/x
  3. Step 3: Cross multiply
    43,506x = 95,001 × 95,001
  4. Step 4: Simplify right side
    43,506x = 9,025,190,001
  5. Step 5: Solve for x
    x = 9,025,190,001/43,506
  6. Step 6: Final answer
    x = 207,447.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.