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Finding the Third Proportional to 77,919 and 168,140

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Solution

The third proportional to 77,919 and 168,140 is: 362,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,919 : 168,140 = 168,140 : x
  2. Step 2: Convert to fraction form
    77,919/168,140 = 168,140/x
  3. Step 3: Cross multiply
    77,919x = 168,140 × 168,140
  4. Step 4: Simplify right side
    77,919x = 28,271,059,600
  5. Step 5: Solve for x
    x = 28,271,059,600/77,919
  6. Step 6: Final answer
    x = 362,826.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.