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Finding the Third Proportional to 109,320 and 164,745

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Solution

The third proportional to 109,320 and 164,745 is: 248,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,320 : 164,745 = 164,745 : x
  2. Step 2: Convert to fraction form
    109,320/164,745 = 164,745/x
  3. Step 3: Cross multiply
    109,320x = 164,745 × 164,745
  4. Step 4: Simplify right side
    109,320x = 27,140,915,025
  5. Step 5: Solve for x
    x = 27,140,915,025/109,320
  6. Step 6: Final answer
    x = 248,270.35

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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.