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Finding the Third Proportional to 136,938 and 184,809

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Solution

The third proportional to 136,938 and 184,809 is: 249,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,938 : 184,809 = 184,809 : x
  2. Step 2: Convert to fraction form
    136,938/184,809 = 184,809/x
  3. Step 3: Cross multiply
    136,938x = 184,809 × 184,809
  4. Step 4: Simplify right side
    136,938x = 34,154,366,481
  5. Step 5: Solve for x
    x = 34,154,366,481/136,938
  6. Step 6: Final answer
    x = 249,414.82

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Why These Related Problems?

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