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Finding the Third Proportional to 62,878 and 98,145

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Solution

The third proportional to 62,878 and 98,145 is: 153,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,878 : 98,145 = 98,145 : x
  2. Step 2: Convert to fraction form
    62,878/98,145 = 98,145/x
  3. Step 3: Cross multiply
    62,878x = 98,145 × 98,145
  4. Step 4: Simplify right side
    62,878x = 9,632,441,025
  5. Step 5: Solve for x
    x = 9,632,441,025/62,878
  6. Step 6: Final answer
    x = 153,192.55

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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.