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Finding the Third Proportional to 64,761 and 86,078.25

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Solution

The third proportional to 64,761 and 86,078.25 is: 114,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,761 : 86,078.25 = 86,078.25 : x
  2. Step 2: Convert to fraction form
    64,761/86,078.25 = 86,078.25/x
  3. Step 3: Cross multiply
    64,761x = 86,078.25 × 86,078.25
  4. Step 4: Simplify right side
    64,761x = 7,409,465,123.06
  5. Step 5: Solve for x
    x = 7,409,465,123.06/64,761
  6. Step 6: Final answer
    x = 114,412.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.