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Finding the Third Proportional to 159,136 and 209,154

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Solution

The third proportional to 159,136 and 209,154 is: 274,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,136 : 209,154 = 209,154 : x
  2. Step 2: Convert to fraction form
    159,136/209,154 = 209,154/x
  3. Step 3: Cross multiply
    159,136x = 209,154 × 209,154
  4. Step 4: Simplify right side
    159,136x = 43,745,395,716
  5. Step 5: Solve for x
    x = 43,745,395,716/159,136
  6. Step 6: Final answer
    x = 274,893.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.