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Finding the Third Proportional to 62,803.50 and 142,023.75

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Solution

The third proportional to 62,803.50 and 142,023.75 is: 321,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,803.50 : 142,023.75 = 142,023.75 : x
  2. Step 2: Convert to fraction form
    62,803.50/142,023.75 = 142,023.75/x
  3. Step 3: Cross multiply
    62,803.50x = 142,023.75 × 142,023.75
  4. Step 4: Simplify right side
    62,803.50x = 20,170,745,564.06
  5. Step 5: Solve for x
    x = 20,170,745,564.06/62,803.50
  6. Step 6: Final answer
    x = 321,172.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.