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Finding the Third Proportional to 103,548.38 and 163,667.25

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Solution

The third proportional to 103,548.38 and 163,667.25 is: 258,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,548.38 : 163,667.25 = 163,667.25 : x
  2. Step 2: Convert to fraction form
    103,548.38/163,667.25 = 163,667.25/x
  3. Step 3: Cross multiply
    103,548.38x = 163,667.25 × 163,667.25
  4. Step 4: Simplify right side
    103,548.38x = 26,786,968,722.56
  5. Step 5: Solve for x
    x = 26,786,968,722.56/103,548.38
  6. Step 6: Final answer
    x = 258,690.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.