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Finding the Third Proportional to 100,710.75 and 136,293.19

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Solution

The third proportional to 100,710.75 and 136,293.19 is: 184,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,710.75 : 136,293.19 = 136,293.19 : x
  2. Step 2: Convert to fraction form
    100,710.75/136,293.19 = 136,293.19/x
  3. Step 3: Cross multiply
    100,710.75x = 136,293.19 × 136,293.19
  4. Step 4: Simplify right side
    100,710.75x = 18,575,832,958.91
  5. Step 5: Solve for x
    x = 18,575,832,958.91/100,710.75
  6. Step 6: Final answer
    x = 184,447.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.