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Finding the Third Proportional to 109,284 and 173,772

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Solution

The third proportional to 109,284 and 173,772 is: 276,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,284 : 173,772 = 173,772 : x
  2. Step 2: Convert to fraction form
    109,284/173,772 = 173,772/x
  3. Step 3: Cross multiply
    109,284x = 173,772 × 173,772
  4. Step 4: Simplify right side
    109,284x = 30,196,707,984
  5. Step 5: Solve for x
    x = 30,196,707,984/109,284
  6. Step 6: Final answer
    x = 276,314.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.