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Finding the Third Proportional to 32,084 and 68,712

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Solution

The third proportional to 32,084 and 68,712 is: 147,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084 : 68,712 = 68,712 : x
  2. Step 2: Convert to fraction form
    32,084/68,712 = 68,712/x
  3. Step 3: Cross multiply
    32,084x = 68,712 × 68,712
  4. Step 4: Simplify right side
    32,084x = 4,721,338,944
  5. Step 5: Solve for x
    x = 4,721,338,944/32,084
  6. Step 6: Final answer
    x = 147,155.56

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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.