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Finding the Third Proportional to 32,230 and 68,332

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Solution

The third proportional to 32,230 and 68,332 is: 144,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230 : 68,332 = 68,332 : x
  2. Step 2: Convert to fraction form
    32,230/68,332 = 68,332/x
  3. Step 3: Cross multiply
    32,230x = 68,332 × 68,332
  4. Step 4: Simplify right side
    32,230x = 4,669,262,224
  5. Step 5: Solve for x
    x = 4,669,262,224/32,230
  6. Step 6: Final answer
    x = 144,873.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.