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Finding the Third Proportional to 32,125 and 68,442

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Solution

The third proportional to 32,125 and 68,442 is: 145,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125 : 68,442 = 68,442 : x
  2. Step 2: Convert to fraction form
    32,125/68,442 = 68,442/x
  3. Step 3: Cross multiply
    32,125x = 68,442 × 68,442
  4. Step 4: Simplify right side
    32,125x = 4,684,307,364
  5. Step 5: Solve for x
    x = 4,684,307,364/32,125
  6. Step 6: Final answer
    x = 145,815.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.