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Finding the Third Proportional to 100,942.50 and 146,715

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Solution

The third proportional to 100,942.50 and 146,715 is: 213,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,942.50 : 146,715 = 146,715 : x
  2. Step 2: Convert to fraction form
    100,942.50/146,715 = 146,715/x
  3. Step 3: Cross multiply
    100,942.50x = 146,715 × 146,715
  4. Step 4: Simplify right side
    100,942.50x = 21,525,291,225
  5. Step 5: Solve for x
    x = 21,525,291,225/100,942.50
  6. Step 6: Final answer
    x = 213,243.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.