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Finding the Third Proportional to 107,090 and 150,430

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Solution

The third proportional to 107,090 and 150,430 is: 211,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,090 : 150,430 = 150,430 : x
  2. Step 2: Convert to fraction form
    107,090/150,430 = 150,430/x
  3. Step 3: Cross multiply
    107,090x = 150,430 × 150,430
  4. Step 4: Simplify right side
    107,090x = 22,629,184,900
  5. Step 5: Solve for x
    x = 22,629,184,900/107,090
  6. Step 6: Final answer
    x = 211,309.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.