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Finding the Third Proportional to 64,852 and 97,134

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Solution

The third proportional to 64,852 and 97,134 is: 145,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,852 : 97,134 = 97,134 : x
  2. Step 2: Convert to fraction form
    64,852/97,134 = 97,134/x
  3. Step 3: Cross multiply
    64,852x = 97,134 × 97,134
  4. Step 4: Simplify right side
    64,852x = 9,435,013,956
  5. Step 5: Solve for x
    x = 9,435,013,956/64,852
  6. Step 6: Final answer
    x = 145,485.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.