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Finding the Third Proportional to 104,504 and 160,130

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Solution

The third proportional to 104,504 and 160,130 is: 245,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,504 : 160,130 = 160,130 : x
  2. Step 2: Convert to fraction form
    104,504/160,130 = 160,130/x
  3. Step 3: Cross multiply
    104,504x = 160,130 × 160,130
  4. Step 4: Simplify right side
    104,504x = 25,641,616,900
  5. Step 5: Solve for x
    x = 25,641,616,900/104,504
  6. Step 6: Final answer
    x = 245,364.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.