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Finding the Third Proportional to 51,001 and 93,617

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Solution

The third proportional to 51,001 and 93,617 is: 171,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001 : 93,617 = 93,617 : x
  2. Step 2: Convert to fraction form
    51,001/93,617 = 93,617/x
  3. Step 3: Cross multiply
    51,001x = 93,617 × 93,617
  4. Step 4: Simplify right side
    51,001x = 8,764,142,689
  5. Step 5: Solve for x
    x = 8,764,142,689/51,001
  6. Step 6: Final answer
    x = 171,842.57

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.