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Finding the Third Proportional to 45,470 and 97,256

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Solution

The third proportional to 45,470 and 97,256 is: 208,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,470 : 97,256 = 97,256 : x
  2. Step 2: Convert to fraction form
    45,470/97,256 = 97,256/x
  3. Step 3: Cross multiply
    45,470x = 97,256 × 97,256
  4. Step 4: Simplify right side
    45,470x = 9,458,729,536
  5. Step 5: Solve for x
    x = 9,458,729,536/45,470
  6. Step 6: Final answer
    x = 208,021.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.