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Finding the Third Proportional to 72,094 and 96,436

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Solution

The third proportional to 72,094 and 96,436 is: 128,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,094 : 96,436 = 96,436 : x
  2. Step 2: Convert to fraction form
    72,094/96,436 = 96,436/x
  3. Step 3: Cross multiply
    72,094x = 96,436 × 96,436
  4. Step 4: Simplify right side
    72,094x = 9,299,902,096
  5. Step 5: Solve for x
    x = 9,299,902,096/72,094
  6. Step 6: Final answer
    x = 128,996.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.