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Finding the Third Proportional to 85,024 and 186,209

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Solution

The third proportional to 85,024 and 186,209 is: 407,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,024 : 186,209 = 186,209 : x
  2. Step 2: Convert to fraction form
    85,024/186,209 = 186,209/x
  3. Step 3: Cross multiply
    85,024x = 186,209 × 186,209
  4. Step 4: Simplify right side
    85,024x = 34,673,791,681
  5. Step 5: Solve for x
    x = 34,673,791,681/85,024
  6. Step 6: Final answer
    x = 407,811.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.