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Finding the Third Proportional to 64,821 and 93,679.50

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Solution

The third proportional to 64,821 and 93,679.50 is: 135,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821 : 93,679.50 = 93,679.50 : x
  2. Step 2: Convert to fraction form
    64,821/93,679.50 = 93,679.50/x
  3. Step 3: Cross multiply
    64,821x = 93,679.50 × 93,679.50
  4. Step 4: Simplify right side
    64,821x = 8,775,848,720.25
  5. Step 5: Solve for x
    x = 8,775,848,720.25/64,821
  6. Step 6: Final answer
    x = 135,385.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.