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Finding the Third Proportional to 67,093 and 144,696.50

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Solution

The third proportional to 67,093 and 144,696.50 is: 312,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,093 : 144,696.50 = 144,696.50 : x
  2. Step 2: Convert to fraction form
    67,093/144,696.50 = 144,696.50/x
  3. Step 3: Cross multiply
    67,093x = 144,696.50 × 144,696.50
  4. Step 4: Simplify right side
    67,093x = 20,937,077,112.25
  5. Step 5: Solve for x
    x = 20,937,077,112.25/67,093
  6. Step 6: Final answer
    x = 312,060.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.