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Finding the Third Proportional to 66,104 and 144,724

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Solution

The third proportional to 66,104 and 144,724 is: 316,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,104 : 144,724 = 144,724 : x
  2. Step 2: Convert to fraction form
    66,104/144,724 = 144,724/x
  3. Step 3: Cross multiply
    66,104x = 144,724 × 144,724
  4. Step 4: Simplify right side
    66,104x = 20,945,036,176
  5. Step 5: Solve for x
    x = 20,945,036,176/66,104
  6. Step 6: Final answer
    x = 316,849.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.