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Finding the Third Proportional to 64,692 and 86,944.50

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Solution

The third proportional to 64,692 and 86,944.50 is: 116,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,692 : 86,944.50 = 86,944.50 : x
  2. Step 2: Convert to fraction form
    64,692/86,944.50 = 86,944.50/x
  3. Step 3: Cross multiply
    64,692x = 86,944.50 × 86,944.50
  4. Step 4: Simplify right side
    64,692x = 7,559,346,080.25
  5. Step 5: Solve for x
    x = 7,559,346,080.25/64,692
  6. Step 6: Final answer
    x = 116,851.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.