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Finding the Third Proportional to 137,367 and 236,106.56

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Solution

The third proportional to 137,367 and 236,106.56 is: 405,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,367 : 236,106.56 = 236,106.56 : x
  2. Step 2: Convert to fraction form
    137,367/236,106.56 = 236,106.56/x
  3. Step 3: Cross multiply
    137,367x = 236,106.56 × 236,106.56
  4. Step 4: Simplify right side
    137,367x = 55,746,308,855.57
  5. Step 5: Solve for x
    x = 55,746,308,855.57/137,367
  6. Step 6: Final answer
    x = 405,820.24

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.