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Finding the Third Proportional to 70,706 and 151,531

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Solution

The third proportional to 70,706 and 151,531 is: 324,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706 : 151,531 = 151,531 : x
  2. Step 2: Convert to fraction form
    70,706/151,531 = 151,531/x
  3. Step 3: Cross multiply
    70,706x = 151,531 × 151,531
  4. Step 4: Simplify right side
    70,706x = 22,961,643,961
  5. Step 5: Solve for x
    x = 22,961,643,961/70,706
  6. Step 6: Final answer
    x = 324,748.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.