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Finding the Third Proportional to 102,971.25 and 151,692.75

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Solution

The third proportional to 102,971.25 and 151,692.75 is: 223,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,971.25 : 151,692.75 = 151,692.75 : x
  2. Step 2: Convert to fraction form
    102,971.25/151,692.75 = 151,692.75/x
  3. Step 3: Cross multiply
    102,971.25x = 151,692.75 × 151,692.75
  4. Step 4: Simplify right side
    102,971.25x = 23,010,690,402.56
  5. Step 5: Solve for x
    x = 23,010,690,402.56/102,971.25
  6. Step 6: Final answer
    x = 223,467.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.