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Finding the Third Proportional to 92,136 and 193,556

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Solution

The third proportional to 92,136 and 193,556 is: 406,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,136 : 193,556 = 193,556 : x
  2. Step 2: Convert to fraction form
    92,136/193,556 = 193,556/x
  3. Step 3: Cross multiply
    92,136x = 193,556 × 193,556
  4. Step 4: Simplify right side
    92,136x = 37,463,925,136
  5. Step 5: Solve for x
    x = 37,463,925,136/92,136
  6. Step 6: Final answer
    x = 406,615.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.