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Finding the Third Proportional to 86,196 and 133,136

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Solution

The third proportional to 86,196 and 133,136 is: 205,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,196 : 133,136 = 133,136 : x
  2. Step 2: Convert to fraction form
    86,196/133,136 = 133,136/x
  3. Step 3: Cross multiply
    86,196x = 133,136 × 133,136
  4. Step 4: Simplify right side
    86,196x = 17,725,194,496
  5. Step 5: Solve for x
    x = 17,725,194,496/86,196
  6. Step 6: Final answer
    x = 205,638.25

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Why These Related Problems?

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