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Finding the Third Proportional to 64,212.75 and 98,820

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Solution

The third proportional to 64,212.75 and 98,820 is: 152,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212.75 : 98,820 = 98,820 : x
  2. Step 2: Convert to fraction form
    64,212.75/98,820 = 98,820/x
  3. Step 3: Cross multiply
    64,212.75x = 98,820 × 98,820
  4. Step 4: Simplify right side
    64,212.75x = 9,765,392,400
  5. Step 5: Solve for x
    x = 9,765,392,400/64,212.75
  6. Step 6: Final answer
    x = 152,078.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.