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Finding the Third Proportional to 102,467 and 210,037

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Solution

The third proportional to 102,467 and 210,037 is: 430,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,467 : 210,037 = 210,037 : x
  2. Step 2: Convert to fraction form
    102,467/210,037 = 210,037/x
  3. Step 3: Cross multiply
    102,467x = 210,037 × 210,037
  4. Step 4: Simplify right side
    102,467x = 44,115,541,369
  5. Step 5: Solve for x
    x = 44,115,541,369/102,467
  6. Step 6: Final answer
    x = 430,534.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.