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Finding the Third Proportional to 86,202 and 133,137

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Solution

The third proportional to 86,202 and 133,137 is: 205,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202 : 133,137 = 133,137 : x
  2. Step 2: Convert to fraction form
    86,202/133,137 = 133,137/x
  3. Step 3: Cross multiply
    86,202x = 133,137 × 133,137
  4. Step 4: Simplify right side
    86,202x = 17,725,460,769
  5. Step 5: Solve for x
    x = 17,725,460,769/86,202
  6. Step 6: Final answer
    x = 205,627.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.