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Finding the Third Proportional to 104,625 and 157,171.50

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Solution

The third proportional to 104,625 and 157,171.50 is: 236,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,625 : 157,171.50 = 157,171.50 : x
  2. Step 2: Convert to fraction form
    104,625/157,171.50 = 157,171.50/x
  3. Step 3: Cross multiply
    104,625x = 157,171.50 × 157,171.50
  4. Step 4: Simplify right side
    104,625x = 24,702,880,412.25
  5. Step 5: Solve for x
    x = 24,702,880,412.25/104,625
  6. Step 6: Final answer
    x = 236,108.77

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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.