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Finding the Third Proportional to 103,947.75 and 167,405.63

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Solution

The third proportional to 103,947.75 and 167,405.63 is: 269,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,947.75 : 167,405.63 = 167,405.63 : x
  2. Step 2: Convert to fraction form
    103,947.75/167,405.63 = 167,405.63/x
  3. Step 3: Cross multiply
    103,947.75x = 167,405.63 × 167,405.63
  4. Step 4: Simplify right side
    103,947.75x = 28,024,643,281.64
  5. Step 5: Solve for x
    x = 28,024,643,281.64/103,947.75
  6. Step 6: Final answer
    x = 269,603.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.