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Finding the Third Proportional to 102,126 and 147,093

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Solution

The third proportional to 102,126 and 147,093 is: 211,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,126 : 147,093 = 147,093 : x
  2. Step 2: Convert to fraction form
    102,126/147,093 = 147,093/x
  3. Step 3: Cross multiply
    102,126x = 147,093 × 147,093
  4. Step 4: Simplify right side
    102,126x = 21,636,350,649
  5. Step 5: Solve for x
    x = 21,636,350,649/102,126
  6. Step 6: Final answer
    x = 211,859.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.