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Finding the Third Proportional to 103,605.75 and 154,769

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Solution

The third proportional to 103,605.75 and 154,769 is: 231,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,605.75 : 154,769 = 154,769 : x
  2. Step 2: Convert to fraction form
    103,605.75/154,769 = 154,769/x
  3. Step 3: Cross multiply
    103,605.75x = 154,769 × 154,769
  4. Step 4: Simplify right side
    103,605.75x = 23,953,443,361
  5. Step 5: Solve for x
    x = 23,953,443,361/103,605.75
  6. Step 6: Final answer
    x = 231,198.01

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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.