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Finding the Third Proportional to 59,997.75 and 128,534.25

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Solution

The third proportional to 59,997.75 and 128,534.25 is: 275,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,997.75 : 128,534.25 = 128,534.25 : x
  2. Step 2: Convert to fraction form
    59,997.75/128,534.25 = 128,534.25/x
  3. Step 3: Cross multiply
    59,997.75x = 128,534.25 × 128,534.25
  4. Step 4: Simplify right side
    59,997.75x = 16,521,053,423.06
  5. Step 5: Solve for x
    x = 16,521,053,423.06/59,997.75
  6. Step 6: Final answer
    x = 275,361.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.