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Finding the Third Proportional to 88,643 and 184,765

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Solution

The third proportional to 88,643 and 184,765 is: 385,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,643 : 184,765 = 184,765 : x
  2. Step 2: Convert to fraction form
    88,643/184,765 = 184,765/x
  3. Step 3: Cross multiply
    88,643x = 184,765 × 184,765
  4. Step 4: Simplify right side
    88,643x = 34,138,105,225
  5. Step 5: Solve for x
    x = 34,138,105,225/88,643
  6. Step 6: Final answer
    x = 385,119.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.