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Finding the Third Proportional to 119,025.75 and 184,416

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Solution

The third proportional to 119,025.75 and 184,416 is: 285,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,025.75 : 184,416 = 184,416 : x
  2. Step 2: Convert to fraction form
    119,025.75/184,416 = 184,416/x
  3. Step 3: Cross multiply
    119,025.75x = 184,416 × 184,416
  4. Step 4: Simplify right side
    119,025.75x = 34,009,261,056
  5. Step 5: Solve for x
    x = 34,009,261,056/119,025.75
  6. Step 6: Final answer
    x = 285,730.28

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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.