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Finding the Third Proportional to 81,492 and 109,023

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Solution

The third proportional to 81,492 and 109,023 is: 145,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,492 : 109,023 = 109,023 : x
  2. Step 2: Convert to fraction form
    81,492/109,023 = 109,023/x
  3. Step 3: Cross multiply
    81,492x = 109,023 × 109,023
  4. Step 4: Simplify right side
    81,492x = 11,886,014,529
  5. Step 5: Solve for x
    x = 11,886,014,529/81,492
  6. Step 6: Final answer
    x = 145,854.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.