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Finding the Third Proportional to 137,946 and 210,930

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Solution

The third proportional to 137,946 and 210,930 is: 322,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,946 : 210,930 = 210,930 : x
  2. Step 2: Convert to fraction form
    137,946/210,930 = 210,930/x
  3. Step 3: Cross multiply
    137,946x = 210,930 × 210,930
  4. Step 4: Simplify right side
    137,946x = 44,491,464,900
  5. Step 5: Solve for x
    x = 44,491,464,900/137,946
  6. Step 6: Final answer
    x = 322,528.13

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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.