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Finding the Third Proportional to 64,962 and 97,182

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Solution

The third proportional to 64,962 and 97,182 is: 145,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 97,182 = 97,182 : x
  2. Step 2: Convert to fraction form
    64,962/97,182 = 97,182/x
  3. Step 3: Cross multiply
    64,962x = 97,182 × 97,182
  4. Step 4: Simplify right side
    64,962x = 9,444,341,124
  5. Step 5: Solve for x
    x = 9,444,341,124/64,962
  6. Step 6: Final answer
    x = 145,382.55

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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.