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Finding the Third Proportional to 105,944 and 232,120

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Solution

The third proportional to 105,944 and 232,120 is: 508,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,944 : 232,120 = 232,120 : x
  2. Step 2: Convert to fraction form
    105,944/232,120 = 232,120/x
  3. Step 3: Cross multiply
    105,944x = 232,120 × 232,120
  4. Step 4: Simplify right side
    105,944x = 53,879,694,400
  5. Step 5: Solve for x
    x = 53,879,694,400/105,944
  6. Step 6: Final answer
    x = 508,567.68

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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.