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Finding the Third Proportional to 67,894 and 102,969

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Solution

The third proportional to 67,894 and 102,969 is: 156,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894 : 102,969 = 102,969 : x
  2. Step 2: Convert to fraction form
    67,894/102,969 = 102,969/x
  3. Step 3: Cross multiply
    67,894x = 102,969 × 102,969
  4. Step 4: Simplify right side
    67,894x = 10,602,614,961
  5. Step 5: Solve for x
    x = 10,602,614,961/67,894
  6. Step 6: Final answer
    x = 156,164.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.