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Finding the Third Proportional to 74,968 and 161,056

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Solution

The third proportional to 74,968 and 161,056 is: 346,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,968 : 161,056 = 161,056 : x
  2. Step 2: Convert to fraction form
    74,968/161,056 = 161,056/x
  3. Step 3: Cross multiply
    74,968x = 161,056 × 161,056
  4. Step 4: Simplify right side
    74,968x = 25,939,035,136
  5. Step 5: Solve for x
    x = 25,939,035,136/74,968
  6. Step 6: Final answer
    x = 346,001.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.