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Finding the Third Proportional to 85,020 and 186,201

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Solution

The third proportional to 85,020 and 186,201 is: 407,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,020 : 186,201 = 186,201 : x
  2. Step 2: Convert to fraction form
    85,020/186,201 = 186,201/x
  3. Step 3: Cross multiply
    85,020x = 186,201 × 186,201
  4. Step 4: Simplify right side
    85,020x = 34,670,812,401
  5. Step 5: Solve for x
    x = 34,670,812,401/85,020
  6. Step 6: Final answer
    x = 407,795.96

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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.