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Finding the Third Proportional to 137,744 and 201,897

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Solution

The third proportional to 137,744 and 201,897 is: 295,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,744 : 201,897 = 201,897 : x
  2. Step 2: Convert to fraction form
    137,744/201,897 = 201,897/x
  3. Step 3: Cross multiply
    137,744x = 201,897 × 201,897
  4. Step 4: Simplify right side
    137,744x = 40,762,398,609
  5. Step 5: Solve for x
    x = 40,762,398,609/137,744
  6. Step 6: Final answer
    x = 295,928.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.