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Finding the Third Proportional to 106,672 and 246,953

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Solution

The third proportional to 106,672 and 246,953 is: 571,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,672 : 246,953 = 246,953 : x
  2. Step 2: Convert to fraction form
    106,672/246,953 = 246,953/x
  3. Step 3: Cross multiply
    106,672x = 246,953 × 246,953
  4. Step 4: Simplify right side
    106,672x = 60,985,784,209
  5. Step 5: Solve for x
    x = 60,985,784,209/106,672
  6. Step 6: Final answer
    x = 571,713.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.