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Finding the Third Proportional to 122,988 and 188,052

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Solution

The third proportional to 122,988 and 188,052 is: 287,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,988 : 188,052 = 188,052 : x
  2. Step 2: Convert to fraction form
    122,988/188,052 = 188,052/x
  3. Step 3: Cross multiply
    122,988x = 188,052 × 188,052
  4. Step 4: Simplify right side
    122,988x = 35,363,554,704
  5. Step 5: Solve for x
    x = 35,363,554,704/122,988
  6. Step 6: Final answer
    x = 287,536.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.