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Finding the Third Proportional to 119,087 and 184,313

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Solution

The third proportional to 119,087 and 184,313 is: 285,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,087 : 184,313 = 184,313 : x
  2. Step 2: Convert to fraction form
    119,087/184,313 = 184,313/x
  3. Step 3: Cross multiply
    119,087x = 184,313 × 184,313
  4. Step 4: Simplify right side
    119,087x = 33,971,281,969
  5. Step 5: Solve for x
    x = 33,971,281,969/119,087
  6. Step 6: Final answer
    x = 285,264.40

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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.