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Finding the Third Proportional to 60,326 and 130,001

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Solution

The third proportional to 60,326 and 130,001 is: 280,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,326 : 130,001 = 130,001 : x
  2. Step 2: Convert to fraction form
    60,326/130,001 = 130,001/x
  3. Step 3: Cross multiply
    60,326x = 130,001 × 130,001
  4. Step 4: Simplify right side
    60,326x = 16,900,260,001
  5. Step 5: Solve for x
    x = 16,900,260,001/60,326
  6. Step 6: Final answer
    x = 280,148.86

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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.