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Finding the Third Proportional to 115,809.75 and 184,938.75

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Solution

The third proportional to 115,809.75 and 184,938.75 is: 295,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,809.75 : 184,938.75 = 184,938.75 : x
  2. Step 2: Convert to fraction form
    115,809.75/184,938.75 = 184,938.75/x
  3. Step 3: Cross multiply
    115,809.75x = 184,938.75 × 184,938.75
  4. Step 4: Simplify right side
    115,809.75x = 34,202,341,251.56
  5. Step 5: Solve for x
    x = 34,202,341,251.56/115,809.75
  6. Step 6: Final answer
    x = 295,332.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.