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Finding the Third Proportional to 66,623 and 143,128

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Solution

The third proportional to 66,623 and 143,128 is: 307,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,623 : 143,128 = 143,128 : x
  2. Step 2: Convert to fraction form
    66,623/143,128 = 143,128/x
  3. Step 3: Cross multiply
    66,623x = 143,128 × 143,128
  4. Step 4: Simplify right side
    66,623x = 20,485,624,384
  5. Step 5: Solve for x
    x = 20,485,624,384/66,623
  6. Step 6: Final answer
    x = 307,485.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.