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Finding the Third Proportional to 134,201 and 184,579

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Solution

The third proportional to 134,201 and 184,579 is: 253,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,201 : 184,579 = 184,579 : x
  2. Step 2: Convert to fraction form
    134,201/184,579 = 184,579/x
  3. Step 3: Cross multiply
    134,201x = 184,579 × 184,579
  4. Step 4: Simplify right side
    134,201x = 34,069,407,241
  5. Step 5: Solve for x
    x = 34,069,407,241/134,201
  6. Step 6: Final answer
    x = 253,868.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.