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Finding the Third Proportional to 32,460 and 68,200

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Solution

The third proportional to 32,460 and 68,200 is: 143,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460 : 68,200 = 68,200 : x
  2. Step 2: Convert to fraction form
    32,460/68,200 = 68,200/x
  3. Step 3: Cross multiply
    32,460x = 68,200 × 68,200
  4. Step 4: Simplify right side
    32,460x = 4,651,240,000
  5. Step 5: Solve for x
    x = 4,651,240,000/32,460
  6. Step 6: Final answer
    x = 143,291.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.