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Finding the Third Proportional to 101,461 and 144,217

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Solution

The third proportional to 101,461 and 144,217 is: 204,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,461 : 144,217 = 144,217 : x
  2. Step 2: Convert to fraction form
    101,461/144,217 = 144,217/x
  3. Step 3: Cross multiply
    101,461x = 144,217 × 144,217
  4. Step 4: Simplify right side
    101,461x = 20,798,543,089
  5. Step 5: Solve for x
    x = 20,798,543,089/101,461
  6. Step 6: Final answer
    x = 204,990.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.