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Finding the Third Proportional to 67,796 and 102,570

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Solution

The third proportional to 67,796 and 102,570 is: 155,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,796 : 102,570 = 102,570 : x
  2. Step 2: Convert to fraction form
    67,796/102,570 = 102,570/x
  3. Step 3: Cross multiply
    67,796x = 102,570 × 102,570
  4. Step 4: Simplify right side
    67,796x = 10,520,604,900
  5. Step 5: Solve for x
    x = 10,520,604,900/67,796
  6. Step 6: Final answer
    x = 155,180.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.