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Finding the Third Proportional to 122,984 and 188,044

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Solution

The third proportional to 122,984 and 188,044 is: 287,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,984 : 188,044 = 188,044 : x
  2. Step 2: Convert to fraction form
    122,984/188,044 = 188,044/x
  3. Step 3: Cross multiply
    122,984x = 188,044 × 188,044
  4. Step 4: Simplify right side
    122,984x = 35,360,545,936
  5. Step 5: Solve for x
    x = 35,360,545,936/122,984
  6. Step 6: Final answer
    x = 287,521.51

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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.