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Finding the Third Proportional to 103,611 and 154,776.75

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Solution

The third proportional to 103,611 and 154,776.75 is: 231,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611 : 154,776.75 = 154,776.75 : x
  2. Step 2: Convert to fraction form
    103,611/154,776.75 = 154,776.75/x
  3. Step 3: Cross multiply
    103,611x = 154,776.75 × 154,776.75
  4. Step 4: Simplify right side
    103,611x = 23,955,842,340.56
  5. Step 5: Solve for x
    x = 23,955,842,340.56/103,611
  6. Step 6: Final answer
    x = 231,209.45

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Why These Related Problems?

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