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Finding the Third Proportional to 69,854 and 142,936

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Solution

The third proportional to 69,854 and 142,936 is: 292,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854 : 142,936 = 142,936 : x
  2. Step 2: Convert to fraction form
    69,854/142,936 = 142,936/x
  3. Step 3: Cross multiply
    69,854x = 142,936 × 142,936
  4. Step 4: Simplify right side
    69,854x = 20,430,700,096
  5. Step 5: Solve for x
    x = 20,430,700,096/69,854
  6. Step 6: Final answer
    x = 292,477.17

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.