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Finding the Third Proportional to 69,851 and 151,357

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Solution

The third proportional to 69,851 and 151,357 is: 327,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,851 : 151,357 = 151,357 : x
  2. Step 2: Convert to fraction form
    69,851/151,357 = 151,357/x
  3. Step 3: Cross multiply
    69,851x = 151,357 × 151,357
  4. Step 4: Simplify right side
    69,851x = 22,908,941,449
  5. Step 5: Solve for x
    x = 22,908,941,449/69,851
  6. Step 6: Final answer
    x = 327,968.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.