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Finding the Third Proportional to 91,610 and 193,056

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Solution

The third proportional to 91,610 and 193,056 is: 406,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,610 : 193,056 = 193,056 : x
  2. Step 2: Convert to fraction form
    91,610/193,056 = 193,056/x
  3. Step 3: Cross multiply
    91,610x = 193,056 × 193,056
  4. Step 4: Simplify right side
    91,610x = 37,270,619,136
  5. Step 5: Solve for x
    x = 37,270,619,136/91,610
  6. Step 6: Final answer
    x = 406,840.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.