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Finding the Third Proportional to 136,572.19 and 214,241.34

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Solution

The third proportional to 136,572.19 and 214,241.34 is: 336,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,572.19 : 214,241.34 = 214,241.34 : x
  2. Step 2: Convert to fraction form
    136,572.19/214,241.34 = 214,241.34/x
  3. Step 3: Cross multiply
    136,572.19x = 214,241.34 × 214,241.34
  4. Step 4: Simplify right side
    136,572.19x = 45,899,353,371.81
  5. Step 5: Solve for x
    x = 45,899,353,371.81/136,572.19
  6. Step 6: Final answer
    x = 336,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.