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Finding the Third Proportional to 112,578 and 173,736

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Solution

The third proportional to 112,578 and 173,736 is: 268,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,578 : 173,736 = 173,736 : x
  2. Step 2: Convert to fraction form
    112,578/173,736 = 173,736/x
  3. Step 3: Cross multiply
    112,578x = 173,736 × 173,736
  4. Step 4: Simplify right side
    112,578x = 30,184,197,696
  5. Step 5: Solve for x
    x = 30,184,197,696/112,578
  6. Step 6: Final answer
    x = 268,118.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.