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Finding the Third Proportional to 78,636 and 168,292.31

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Solution

The third proportional to 78,636 and 168,292.31 is: 360,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,636 : 168,292.31 = 168,292.31 : x
  2. Step 2: Convert to fraction form
    78,636/168,292.31 = 168,292.31/x
  3. Step 3: Cross multiply
    78,636x = 168,292.31 × 168,292.31
  4. Step 4: Simplify right side
    78,636x = 28,322,302,446.60
  5. Step 5: Solve for x
    x = 28,322,302,446.60/78,636
  6. Step 6: Final answer
    x = 360,169.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.