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Finding the Third Proportional to 101,093 and 154,087.50

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Solution

The third proportional to 101,093 and 154,087.50 is: 234,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,093 : 154,087.50 = 154,087.50 : x
  2. Step 2: Convert to fraction form
    101,093/154,087.50 = 154,087.50/x
  3. Step 3: Cross multiply
    101,093x = 154,087.50 × 154,087.50
  4. Step 4: Simplify right side
    101,093x = 23,742,957,656.25
  5. Step 5: Solve for x
    x = 23,742,957,656.25/101,093
  6. Step 6: Final answer
    x = 234,862.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.