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Finding the Third Proportional to 70,295 and 107,531

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Solution

The third proportional to 70,295 and 107,531 is: 164,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295 : 107,531 = 107,531 : x
  2. Step 2: Convert to fraction form
    70,295/107,531 = 107,531/x
  3. Step 3: Cross multiply
    70,295x = 107,531 × 107,531
  4. Step 4: Simplify right side
    70,295x = 11,562,915,961
  5. Step 5: Solve for x
    x = 11,562,915,961/70,295
  6. Step 6: Final answer
    x = 164,491.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.