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Finding the Third Proportional to 98,093 and 151,858

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Solution

The third proportional to 98,093 and 151,858 is: 235,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093 : 151,858 = 151,858 : x
  2. Step 2: Convert to fraction form
    98,093/151,858 = 151,858/x
  3. Step 3: Cross multiply
    98,093x = 151,858 × 151,858
  4. Step 4: Simplify right side
    98,093x = 23,060,852,164
  5. Step 5: Solve for x
    x = 23,060,852,164/98,093
  6. Step 6: Final answer
    x = 235,091.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.