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Finding the Third Proportional to 32,952 and 68,208

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Solution

The third proportional to 32,952 and 68,208 is: 141,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952 : 68,208 = 68,208 : x
  2. Step 2: Convert to fraction form
    32,952/68,208 = 68,208/x
  3. Step 3: Cross multiply
    32,952x = 68,208 × 68,208
  4. Step 4: Simplify right side
    32,952x = 4,652,331,264
  5. Step 5: Solve for x
    x = 4,652,331,264/32,952
  6. Step 6: Final answer
    x = 141,185.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.