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Finding the Third Proportional to 109,215 and 164,826

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Solution

The third proportional to 109,215 and 164,826 is: 248,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,215 : 164,826 = 164,826 : x
  2. Step 2: Convert to fraction form
    109,215/164,826 = 164,826/x
  3. Step 3: Cross multiply
    109,215x = 164,826 × 164,826
  4. Step 4: Simplify right side
    109,215x = 27,167,610,276
  5. Step 5: Solve for x
    x = 27,167,610,276/109,215
  6. Step 6: Final answer
    x = 248,753.47

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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.