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Finding the Third Proportional to 85,840 and 185,971

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Solution

The third proportional to 85,840 and 185,971 is: 402,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840 : 185,971 = 185,971 : x
  2. Step 2: Convert to fraction form
    85,840/185,971 = 185,971/x
  3. Step 3: Cross multiply
    85,840x = 185,971 × 185,971
  4. Step 4: Simplify right side
    85,840x = 34,585,212,841
  5. Step 5: Solve for x
    x = 34,585,212,841/85,840
  6. Step 6: Final answer
    x = 402,903.23

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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.