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Finding the Third Proportional to 62,880 and 98,147

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Solution

The third proportional to 62,880 and 98,147 is: 153,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,880 : 98,147 = 98,147 : x
  2. Step 2: Convert to fraction form
    62,880/98,147 = 98,147/x
  3. Step 3: Cross multiply
    62,880x = 98,147 × 98,147
  4. Step 4: Simplify right side
    62,880x = 9,632,833,609
  5. Step 5: Solve for x
    x = 9,632,833,609/62,880
  6. Step 6: Final answer
    x = 153,193.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.