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Finding the Third Proportional to 101,969.75 and 155,113.50

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Solution

The third proportional to 101,969.75 and 155,113.50 is: 235,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.75 : 155,113.50 = 155,113.50 : x
  2. Step 2: Convert to fraction form
    101,969.75/155,113.50 = 155,113.50/x
  3. Step 3: Cross multiply
    101,969.75x = 155,113.50 × 155,113.50
  4. Step 4: Simplify right side
    101,969.75x = 24,060,197,882.25
  5. Step 5: Solve for x
    x = 24,060,197,882.25/101,969.75
  6. Step 6: Final answer
    x = 235,954.27

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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.