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Finding the Third Proportional to 85,068 and 185,702

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Solution

The third proportional to 85,068 and 185,702 is: 405,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,068 : 185,702 = 185,702 : x
  2. Step 2: Convert to fraction form
    85,068/185,702 = 185,702/x
  3. Step 3: Cross multiply
    85,068x = 185,702 × 185,702
  4. Step 4: Simplify right side
    85,068x = 34,485,232,804
  5. Step 5: Solve for x
    x = 34,485,232,804/85,068
  6. Step 6: Final answer
    x = 405,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.