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Finding the Third Proportional to 68,351 and 147,931

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Solution

The third proportional to 68,351 and 147,931 is: 320,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,351 : 147,931 = 147,931 : x
  2. Step 2: Convert to fraction form
    68,351/147,931 = 147,931/x
  3. Step 3: Cross multiply
    68,351x = 147,931 × 147,931
  4. Step 4: Simplify right side
    68,351x = 21,883,580,761
  5. Step 5: Solve for x
    x = 21,883,580,761/68,351
  6. Step 6: Final answer
    x = 320,164.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.