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Finding the Third Proportional to 119,046 and 158,697

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Solution

The third proportional to 119,046 and 158,697 is: 211,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046 : 158,697 = 158,697 : x
  2. Step 2: Convert to fraction form
    119,046/158,697 = 158,697/x
  3. Step 3: Cross multiply
    119,046x = 158,697 × 158,697
  4. Step 4: Simplify right side
    119,046x = 25,184,737,809
  5. Step 5: Solve for x
    x = 25,184,737,809/119,046
  6. Step 6: Final answer
    x = 211,554.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.