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Finding the Third Proportional to 32,103 and 68,361

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Solution

The third proportional to 32,103 and 68,361 is: 145,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103 : 68,361 = 68,361 : x
  2. Step 2: Convert to fraction form
    32,103/68,361 = 68,361/x
  3. Step 3: Cross multiply
    32,103x = 68,361 × 68,361
  4. Step 4: Simplify right side
    32,103x = 4,673,226,321
  5. Step 5: Solve for x
    x = 4,673,226,321/32,103
  6. Step 6: Final answer
    x = 145,569.77

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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.