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Finding the Third Proportional to 122,913 and 186,933

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Solution

The third proportional to 122,913 and 186,933 is: 284,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,913 : 186,933 = 186,933 : x
  2. Step 2: Convert to fraction form
    122,913/186,933 = 186,933/x
  3. Step 3: Cross multiply
    122,913x = 186,933 × 186,933
  4. Step 4: Simplify right side
    122,913x = 34,943,946,489
  5. Step 5: Solve for x
    x = 34,943,946,489/122,913
  6. Step 6: Final answer
    x = 284,298.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.