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Finding the Third Proportional to 84,158 and 180,136

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Solution

The third proportional to 84,158 and 180,136 is: 385,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,158 : 180,136 = 180,136 : x
  2. Step 2: Convert to fraction form
    84,158/180,136 = 180,136/x
  3. Step 3: Cross multiply
    84,158x = 180,136 × 180,136
  4. Step 4: Simplify right side
    84,158x = 32,448,978,496
  5. Step 5: Solve for x
    x = 32,448,978,496/84,158
  6. Step 6: Final answer
    x = 385,572.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.