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Finding the Third Proportional to 100,939 and 154,943.50

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Solution

The third proportional to 100,939 and 154,943.50 is: 237,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,939 : 154,943.50 = 154,943.50 : x
  2. Step 2: Convert to fraction form
    100,939/154,943.50 = 154,943.50/x
  3. Step 3: Cross multiply
    100,939x = 154,943.50 × 154,943.50
  4. Step 4: Simplify right side
    100,939x = 24,007,488,192.25
  5. Step 5: Solve for x
    x = 24,007,488,192.25/100,939
  6. Step 6: Final answer
    x = 237,841.55

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