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Finding the Third Proportional to 67,385 and 105,392

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Solution

The third proportional to 67,385 and 105,392 is: 164,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,385 : 105,392 = 105,392 : x
  2. Step 2: Convert to fraction form
    67,385/105,392 = 105,392/x
  3. Step 3: Cross multiply
    67,385x = 105,392 × 105,392
  4. Step 4: Simplify right side
    67,385x = 11,107,473,664
  5. Step 5: Solve for x
    x = 11,107,473,664/67,385
  6. Step 6: Final answer
    x = 164,836.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.