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Finding the Third Proportional to 68,996 and 147,832

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Solution

The third proportional to 68,996 and 147,832 is: 316,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,996 : 147,832 = 147,832 : x
  2. Step 2: Convert to fraction form
    68,996/147,832 = 147,832/x
  3. Step 3: Cross multiply
    68,996x = 147,832 × 147,832
  4. Step 4: Simplify right side
    68,996x = 21,854,300,224
  5. Step 5: Solve for x
    x = 21,854,300,224/68,996
  6. Step 6: Final answer
    x = 316,747.35

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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.