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Finding the Third Proportional to 86,052 and 186,401.50

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Solution

The third proportional to 86,052 and 186,401.50 is: 403,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,052 : 186,401.50 = 186,401.50 : x
  2. Step 2: Convert to fraction form
    86,052/186,401.50 = 186,401.50/x
  3. Step 3: Cross multiply
    86,052x = 186,401.50 × 186,401.50
  4. Step 4: Simplify right side
    86,052x = 34,745,519,202.25
  5. Step 5: Solve for x
    x = 34,745,519,202.25/86,052
  6. Step 6: Final answer
    x = 403,773.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.