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Finding the Third Proportional to 45,085 and 97,946

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Solution

The third proportional to 45,085 and 97,946 is: 212,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,085 : 97,946 = 97,946 : x
  2. Step 2: Convert to fraction form
    45,085/97,946 = 97,946/x
  3. Step 3: Cross multiply
    45,085x = 97,946 × 97,946
  4. Step 4: Simplify right side
    45,085x = 9,593,418,916
  5. Step 5: Solve for x
    x = 9,593,418,916/45,085
  6. Step 6: Final answer
    x = 212,785.16

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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.