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Finding the Third Proportional to 71,492 and 108,774

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Solution

The third proportional to 71,492 and 108,774 is: 165,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492 : 108,774 = 108,774 : x
  2. Step 2: Convert to fraction form
    71,492/108,774 = 108,774/x
  3. Step 3: Cross multiply
    71,492x = 108,774 × 108,774
  4. Step 4: Simplify right side
    71,492x = 11,831,783,076
  5. Step 5: Solve for x
    x = 11,831,783,076/71,492
  6. Step 6: Final answer
    x = 165,498.00

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