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Finding the Third Proportional to 119,968 and 186,240

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Solution

The third proportional to 119,968 and 186,240 is: 289,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,968 : 186,240 = 186,240 : x
  2. Step 2: Convert to fraction form
    119,968/186,240 = 186,240/x
  3. Step 3: Cross multiply
    119,968x = 186,240 × 186,240
  4. Step 4: Simplify right side
    119,968x = 34,685,337,600
  5. Step 5: Solve for x
    x = 34,685,337,600/119,968
  6. Step 6: Final answer
    x = 289,121.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.