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Finding the Third Proportional to 100,944 and 137,149.50

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Solution

The third proportional to 100,944 and 137,149.50 is: 186,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944 : 137,149.50 = 137,149.50 : x
  2. Step 2: Convert to fraction form
    100,944/137,149.50 = 137,149.50/x
  3. Step 3: Cross multiply
    100,944x = 137,149.50 × 137,149.50
  4. Step 4: Simplify right side
    100,944x = 18,809,985,350.25
  5. Step 5: Solve for x
    x = 18,809,985,350.25/100,944
  6. Step 6: Final answer
    x = 186,340.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.