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Finding the Third Proportional to 92,144 and 193,572

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Solution

The third proportional to 92,144 and 193,572 is: 406,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,144 : 193,572 = 193,572 : x
  2. Step 2: Convert to fraction form
    92,144/193,572 = 193,572/x
  3. Step 3: Cross multiply
    92,144x = 193,572 × 193,572
  4. Step 4: Simplify right side
    92,144x = 37,470,119,184
  5. Step 5: Solve for x
    x = 37,470,119,184/92,144
  6. Step 6: Final answer
    x = 406,647.41

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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.