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Finding the Third Proportional to 74,694 and 161,946

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Solution

The third proportional to 74,694 and 161,946 is: 351,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,694 : 161,946 = 161,946 : x
  2. Step 2: Convert to fraction form
    74,694/161,946 = 161,946/x
  3. Step 3: Cross multiply
    74,694x = 161,946 × 161,946
  4. Step 4: Simplify right side
    74,694x = 26,226,506,916
  5. Step 5: Solve for x
    x = 26,226,506,916/74,694
  6. Step 6: Final answer
    x = 351,119.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.