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Finding the Third Proportional to 96,066 and 154,348.03

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Solution

The third proportional to 96,066 and 154,348.03 is: 247,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,066 : 154,348.03 = 154,348.03 : x
  2. Step 2: Convert to fraction form
    96,066/154,348.03 = 154,348.03/x
  3. Step 3: Cross multiply
    96,066x = 154,348.03 × 154,348.03
  4. Step 4: Simplify right side
    96,066x = 23,823,314,750.75
  5. Step 5: Solve for x
    x = 23,823,314,750.75/96,066
  6. Step 6: Final answer
    x = 247,989.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.