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Finding the Third Proportional to 32,205 and 68,658

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Solution

The third proportional to 32,205 and 68,658 is: 146,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205 : 68,658 = 68,658 : x
  2. Step 2: Convert to fraction form
    32,205/68,658 = 68,658/x
  3. Step 3: Cross multiply
    32,205x = 68,658 × 68,658
  4. Step 4: Simplify right side
    32,205x = 4,713,920,964
  5. Step 5: Solve for x
    x = 4,713,920,964/32,205
  6. Step 6: Final answer
    x = 146,372.33

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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.