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Finding the Third Proportional to 45,566 and 97,946

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Solution

The third proportional to 45,566 and 97,946 is: 210,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,566 : 97,946 = 97,946 : x
  2. Step 2: Convert to fraction form
    45,566/97,946 = 97,946/x
  3. Step 3: Cross multiply
    45,566x = 97,946 × 97,946
  4. Step 4: Simplify right side
    45,566x = 9,593,418,916
  5. Step 5: Solve for x
    x = 9,593,418,916/45,566
  6. Step 6: Final answer
    x = 210,538.97

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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.