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Finding the Third Proportional to 32,112 and 68,688

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Solution

The third proportional to 32,112 and 68,688 is: 146,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112 : 68,688 = 68,688 : x
  2. Step 2: Convert to fraction form
    32,112/68,688 = 68,688/x
  3. Step 3: Cross multiply
    32,112x = 68,688 × 68,688
  4. Step 4: Simplify right side
    32,112x = 4,718,041,344
  5. Step 5: Solve for x
    x = 4,718,041,344/32,112
  6. Step 6: Final answer
    x = 146,924.56

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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.