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Finding the Third Proportional to 102,237 and 220,026

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Solution

The third proportional to 102,237 and 220,026 is: 473,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,237 : 220,026 = 220,026 : x
  2. Step 2: Convert to fraction form
    102,237/220,026 = 220,026/x
  3. Step 3: Cross multiply
    102,237x = 220,026 × 220,026
  4. Step 4: Simplify right side
    102,237x = 48,411,440,676
  5. Step 5: Solve for x
    x = 48,411,440,676/102,237
  6. Step 6: Final answer
    x = 473,521.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.