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Finding the Third Proportional to 32,922 and 72,246

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Solution

The third proportional to 32,922 and 72,246 is: 158,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922 : 72,246 = 72,246 : x
  2. Step 2: Convert to fraction form
    32,922/72,246 = 72,246/x
  3. Step 3: Cross multiply
    32,922x = 72,246 × 72,246
  4. Step 4: Simplify right side
    32,922x = 5,219,484,516
  5. Step 5: Solve for x
    x = 5,219,484,516/32,922
  6. Step 6: Final answer
    x = 158,540.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.