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Finding the Third Proportional to 64,854 and 100,202.06

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Solution

The third proportional to 64,854 and 100,202.06 is: 154,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 100,202.06 = 100,202.06 : x
  2. Step 2: Convert to fraction form
    64,854/100,202.06 = 100,202.06/x
  3. Step 3: Cross multiply
    64,854x = 100,202.06 × 100,202.06
  4. Step 4: Simplify right side
    64,854x = 10,040,453,329.25
  5. Step 5: Solve for x
    x = 10,040,453,329.25/64,854
  6. Step 6: Final answer
    x = 154,816.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.