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Finding the Third Proportional to 101,148.50 and 151,982

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Solution

The third proportional to 101,148.50 and 151,982 is: 228,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,148.50 : 151,982 = 151,982 : x
  2. Step 2: Convert to fraction form
    101,148.50/151,982 = 151,982/x
  3. Step 3: Cross multiply
    101,148.50x = 151,982 × 151,982
  4. Step 4: Simplify right side
    101,148.50x = 23,098,528,324
  5. Step 5: Solve for x
    x = 23,098,528,324/101,148.50
  6. Step 6: Final answer
    x = 228,362.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.