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Finding the Third Proportional to 85,816 and 184,547

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Solution

The third proportional to 85,816 and 184,547 is: 396,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,816 : 184,547 = 184,547 : x
  2. Step 2: Convert to fraction form
    85,816/184,547 = 184,547/x
  3. Step 3: Cross multiply
    85,816x = 184,547 × 184,547
  4. Step 4: Simplify right side
    85,816x = 34,057,595,209
  5. Step 5: Solve for x
    x = 34,057,595,209/85,816
  6. Step 6: Final answer
    x = 396,867.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.