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Finding the Third Proportional to 69,394 and 109,774

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Solution

The third proportional to 69,394 and 109,774 is: 173,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,394 : 109,774 = 109,774 : x
  2. Step 2: Convert to fraction form
    69,394/109,774 = 109,774/x
  3. Step 3: Cross multiply
    69,394x = 109,774 × 109,774
  4. Step 4: Simplify right side
    69,394x = 12,050,331,076
  5. Step 5: Solve for x
    x = 12,050,331,076/69,394
  6. Step 6: Final answer
    x = 173,650.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.