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Finding the Third Proportional to 101,331 and 155,533.50

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Solution

The third proportional to 101,331 and 155,533.50 is: 238,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,331 : 155,533.50 = 155,533.50 : x
  2. Step 2: Convert to fraction form
    101,331/155,533.50 = 155,533.50/x
  3. Step 3: Cross multiply
    101,331x = 155,533.50 × 155,533.50
  4. Step 4: Simplify right side
    101,331x = 24,190,669,622.25
  5. Step 5: Solve for x
    x = 24,190,669,622.25/101,331
  6. Step 6: Final answer
    x = 238,729.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.