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Finding the Third Proportional to 55,190 and 120,046

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Solution

The third proportional to 55,190 and 120,046 is: 261,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,190 : 120,046 = 120,046 : x
  2. Step 2: Convert to fraction form
    55,190/120,046 = 120,046/x
  3. Step 3: Cross multiply
    55,190x = 120,046 × 120,046
  4. Step 4: Simplify right side
    55,190x = 14,411,042,116
  5. Step 5: Solve for x
    x = 14,411,042,116/55,190
  6. Step 6: Final answer
    x = 261,116.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.