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Finding the Third Proportional to 137,421.56 and 210,219.38

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Solution

The third proportional to 137,421.56 and 210,219.38 is: 321,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,421.56 : 210,219.38 = 210,219.38 : x
  2. Step 2: Convert to fraction form
    137,421.56/210,219.38 = 210,219.38/x
  3. Step 3: Cross multiply
    137,421.56x = 210,219.38 × 210,219.38
  4. Step 4: Simplify right side
    137,421.56x = 44,192,185,625.39
  5. Step 5: Solve for x
    x = 44,192,185,625.39/137,421.56
  6. Step 6: Final answer
    x = 321,581.16

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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.