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Finding the Third Proportional to 64,801 and 100,072.50

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Solution

The third proportional to 64,801 and 100,072.50 is: 154,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,801 : 100,072.50 = 100,072.50 : x
  2. Step 2: Convert to fraction form
    64,801/100,072.50 = 100,072.50/x
  3. Step 3: Cross multiply
    64,801x = 100,072.50 × 100,072.50
  4. Step 4: Simplify right side
    64,801x = 10,014,505,256.25
  5. Step 5: Solve for x
    x = 10,014,505,256.25/64,801
  6. Step 6: Final answer
    x = 154,542.45

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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.