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Finding the Third Proportional to 54,690.19 and 119,502.84

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Solution

The third proportional to 54,690.19 and 119,502.84 is: 261,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,690.19 : 119,502.84 = 119,502.84 : x
  2. Step 2: Convert to fraction form
    54,690.19/119,502.84 = 119,502.84/x
  3. Step 3: Cross multiply
    54,690.19x = 119,502.84 × 119,502.84
  4. Step 4: Simplify right side
    54,690.19x = 14,280,929,664.34
  5. Step 5: Solve for x
    x = 14,280,929,664.34/54,690.19
  6. Step 6: Final answer
    x = 261,124.17

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Why These Related Problems?

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