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Finding the Third Proportional to 109,008 and 154,584

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Solution

The third proportional to 109,008 and 154,584 is: 219,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,008 : 154,584 = 154,584 : x
  2. Step 2: Convert to fraction form
    109,008/154,584 = 154,584/x
  3. Step 3: Cross multiply
    109,008x = 154,584 × 154,584
  4. Step 4: Simplify right side
    109,008x = 23,896,213,056
  5. Step 5: Solve for x
    x = 23,896,213,056/109,008
  6. Step 6: Final answer
    x = 219,215.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.