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Finding the Third Proportional to 145,996 and 191,706

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Solution

The third proportional to 145,996 and 191,706 is: 251,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,996 : 191,706 = 191,706 : x
  2. Step 2: Convert to fraction form
    145,996/191,706 = 191,706/x
  3. Step 3: Cross multiply
    145,996x = 191,706 × 191,706
  4. Step 4: Simplify right side
    145,996x = 36,751,190,436
  5. Step 5: Solve for x
    x = 36,751,190,436/145,996
  6. Step 6: Final answer
    x = 251,727.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.