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Finding the Third Proportional to 52,036 and 111,970

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Solution

The third proportional to 52,036 and 111,970 is: 240,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036 : 111,970 = 111,970 : x
  2. Step 2: Convert to fraction form
    52,036/111,970 = 111,970/x
  3. Step 3: Cross multiply
    52,036x = 111,970 × 111,970
  4. Step 4: Simplify right side
    52,036x = 12,537,280,900
  5. Step 5: Solve for x
    x = 12,537,280,900/52,036
  6. Step 6: Final answer
    x = 240,934.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.