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Finding the Third Proportional to 137,926.13 and 210,890.25

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Solution

The third proportional to 137,926.13 and 210,890.25 is: 322,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,926.13 : 210,890.25 = 210,890.25 : x
  2. Step 2: Convert to fraction form
    137,926.13/210,890.25 = 210,890.25/x
  3. Step 3: Cross multiply
    137,926.13x = 210,890.25 × 210,890.25
  4. Step 4: Simplify right side
    137,926.13x = 44,474,697,545.06
  5. Step 5: Solve for x
    x = 44,474,697,545.06/137,926.13
  6. Step 6: Final answer
    x = 322,453.03

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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.