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Finding the Third Proportional to 103,734.50 and 154,937

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Solution

The third proportional to 103,734.50 and 154,937 is: 231,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734.50 : 154,937 = 154,937 : x
  2. Step 2: Convert to fraction form
    103,734.50/154,937 = 154,937/x
  3. Step 3: Cross multiply
    103,734.50x = 154,937 × 154,937
  4. Step 4: Simplify right side
    103,734.50x = 24,005,473,969
  5. Step 5: Solve for x
    x = 24,005,473,969/103,734.50
  6. Step 6: Final answer
    x = 231,412.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.