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Finding the Third Proportional to 64,419.75 and 97,335.56

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Solution

The third proportional to 64,419.75 and 97,335.56 is: 147,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,419.75 : 97,335.56 = 97,335.56 : x
  2. Step 2: Convert to fraction form
    64,419.75/97,335.56 = 97,335.56/x
  3. Step 3: Cross multiply
    64,419.75x = 97,335.56 × 97,335.56
  4. Step 4: Simplify right side
    64,419.75x = 9,474,211,727.19
  5. Step 5: Solve for x
    x = 9,474,211,727.19/64,419.75
  6. Step 6: Final answer
    x = 147,069.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.