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Finding the Third Proportional to 74,826 and 162,743.63

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Solution

The third proportional to 74,826 and 162,743.63 is: 353,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826 : 162,743.63 = 162,743.63 : x
  2. Step 2: Convert to fraction form
    74,826/162,743.63 = 162,743.63/x
  3. Step 3: Cross multiply
    74,826x = 162,743.63 × 162,743.63
  4. Step 4: Simplify right side
    74,826x = 26,485,487,478.14
  5. Step 5: Solve for x
    x = 26,485,487,478.14/74,826
  6. Step 6: Final answer
    x = 353,961.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.