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Finding the Third Proportional to 105,462 and 169,833.38

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Solution

The third proportional to 105,462 and 169,833.38 is: 273,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,462 : 169,833.38 = 169,833.38 : x
  2. Step 2: Convert to fraction form
    105,462/169,833.38 = 169,833.38/x
  3. Step 3: Cross multiply
    105,462x = 169,833.38 × 169,833.38
  4. Step 4: Simplify right side
    105,462x = 28,843,375,263.89
  5. Step 5: Solve for x
    x = 28,843,375,263.89/105,462
  6. Step 6: Final answer
    x = 273,495.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.