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Finding the Third Proportional to 86,653 and 186,202

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Solution

The third proportional to 86,653 and 186,202 is: 400,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,653 : 186,202 = 186,202 : x
  2. Step 2: Convert to fraction form
    86,653/186,202 = 186,202/x
  3. Step 3: Cross multiply
    86,653x = 186,202 × 186,202
  4. Step 4: Simplify right side
    86,653x = 34,671,184,804
  5. Step 5: Solve for x
    x = 34,671,184,804/86,653
  6. Step 6: Final answer
    x = 400,115.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.