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Finding the Third Proportional to 105,670.83 and 162,418.92

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Solution

The third proportional to 105,670.83 and 162,418.92 is: 249,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,670.83 : 162,418.92 = 162,418.92 : x
  2. Step 2: Convert to fraction form
    105,670.83/162,418.92 = 162,418.92/x
  3. Step 3: Cross multiply
    105,670.83x = 162,418.92 × 162,418.92
  4. Step 4: Simplify right side
    105,670.83x = 26,379,906,183.04
  5. Step 5: Solve for x
    x = 26,379,906,183.04/105,670.83
  6. Step 6: Final answer
    x = 249,642.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.