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Finding the Third Proportional to 102,146 and 211,364

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Solution

The third proportional to 102,146 and 211,364 is: 437,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146 : 211,364 = 211,364 : x
  2. Step 2: Convert to fraction form
    102,146/211,364 = 211,364/x
  3. Step 3: Cross multiply
    102,146x = 211,364 × 211,364
  4. Step 4: Simplify right side
    102,146x = 44,674,740,496
  5. Step 5: Solve for x
    x = 44,674,740,496/102,146
  6. Step 6: Final answer
    x = 437,361.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.