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Finding the Third Proportional to 45,094 and 96,442

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Solution

The third proportional to 45,094 and 96,442 is: 206,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,094 : 96,442 = 96,442 : x
  2. Step 2: Convert to fraction form
    45,094/96,442 = 96,442/x
  3. Step 3: Cross multiply
    45,094x = 96,442 × 96,442
  4. Step 4: Simplify right side
    45,094x = 9,301,059,364
  5. Step 5: Solve for x
    x = 9,301,059,364/45,094
  6. Step 6: Final answer
    x = 206,259.36

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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.