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Finding the Third Proportional to 109,179 and 154,656

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Solution

The third proportional to 109,179 and 154,656 is: 219,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,179 : 154,656 = 154,656 : x
  2. Step 2: Convert to fraction form
    109,179/154,656 = 154,656/x
  3. Step 3: Cross multiply
    109,179x = 154,656 × 154,656
  4. Step 4: Simplify right side
    109,179x = 23,918,478,336
  5. Step 5: Solve for x
    x = 23,918,478,336/109,179
  6. Step 6: Final answer
    x = 219,075.81

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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.