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Finding the Third Proportional to 68,112 and 145,536

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Solution

The third proportional to 68,112 and 145,536 is: 310,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,112 : 145,536 = 145,536 : x
  2. Step 2: Convert to fraction form
    68,112/145,536 = 145,536/x
  3. Step 3: Cross multiply
    68,112x = 145,536 × 145,536
  4. Step 4: Simplify right side
    68,112x = 21,180,727,296
  5. Step 5: Solve for x
    x = 21,180,727,296/68,112
  6. Step 6: Final answer
    x = 310,969.10

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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.