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Finding the Third Proportional to 69,018.75 and 97,169.63

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Solution

The third proportional to 69,018.75 and 97,169.63 is: 136,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,018.75 : 97,169.63 = 97,169.63 : x
  2. Step 2: Convert to fraction form
    69,018.75/97,169.63 = 97,169.63/x
  3. Step 3: Cross multiply
    69,018.75x = 97,169.63 × 97,169.63
  4. Step 4: Simplify right side
    69,018.75x = 9,441,936,022.64
  5. Step 5: Solve for x
    x = 9,441,936,022.64/69,018.75
  6. Step 6: Final answer
    x = 136,802.48

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.