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Finding the Third Proportional to 65,925 and 104,816.25

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Solution

The third proportional to 65,925 and 104,816.25 is: 166,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925 : 104,816.25 = 104,816.25 : x
  2. Step 2: Convert to fraction form
    65,925/104,816.25 = 104,816.25/x
  3. Step 3: Cross multiply
    65,925x = 104,816.25 × 104,816.25
  4. Step 4: Simplify right side
    65,925x = 10,986,446,264.06
  5. Step 5: Solve for x
    x = 10,986,446,264.06/65,925
  6. Step 6: Final answer
    x = 166,650.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.