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Finding the Third Proportional to 69,582 and 151,800

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Solution

The third proportional to 69,582 and 151,800 is: 331,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,582 : 151,800 = 151,800 : x
  2. Step 2: Convert to fraction form
    69,582/151,800 = 151,800/x
  3. Step 3: Cross multiply
    69,582x = 151,800 × 151,800
  4. Step 4: Simplify right side
    69,582x = 23,043,240,000
  5. Step 5: Solve for x
    x = 23,043,240,000/69,582
  6. Step 6: Final answer
    x = 331,166.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.