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Finding the Third Proportional to 62,341.50 and 132,469.50

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Solution

The third proportional to 62,341.50 and 132,469.50 is: 281,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,341.50 : 132,469.50 = 132,469.50 : x
  2. Step 2: Convert to fraction form
    62,341.50/132,469.50 = 132,469.50/x
  3. Step 3: Cross multiply
    62,341.50x = 132,469.50 × 132,469.50
  4. Step 4: Simplify right side
    62,341.50x = 17,548,168,430.25
  5. Step 5: Solve for x
    x = 17,548,168,430.25/62,341.50
  6. Step 6: Final answer
    x = 281,484.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.