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Finding the Third Proportional to 119,090 and 184,319

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Solution

The third proportional to 119,090 and 184,319 is: 285,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090 : 184,319 = 184,319 : x
  2. Step 2: Convert to fraction form
    119,090/184,319 = 184,319/x
  3. Step 3: Cross multiply
    119,090x = 184,319 × 184,319
  4. Step 4: Simplify right side
    119,090x = 33,973,493,761
  5. Step 5: Solve for x
    x = 33,973,493,761/119,090
  6. Step 6: Final answer
    x = 285,275.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.