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Finding the Third Proportional to 61,647 and 88,095

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Solution

The third proportional to 61,647 and 88,095 is: 125,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,647 : 88,095 = 88,095 : x
  2. Step 2: Convert to fraction form
    61,647/88,095 = 88,095/x
  3. Step 3: Cross multiply
    61,647x = 88,095 × 88,095
  4. Step 4: Simplify right side
    61,647x = 7,760,729,025
  5. Step 5: Solve for x
    x = 7,760,729,025/61,647
  6. Step 6: Final answer
    x = 125,889.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.