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Finding the Third Proportional to 64,735 and 87,462

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Solution

The third proportional to 64,735 and 87,462 is: 118,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,735 : 87,462 = 87,462 : x
  2. Step 2: Convert to fraction form
    64,735/87,462 = 87,462/x
  3. Step 3: Cross multiply
    64,735x = 87,462 × 87,462
  4. Step 4: Simplify right side
    64,735x = 7,649,601,444
  5. Step 5: Solve for x
    x = 7,649,601,444/64,735
  6. Step 6: Final answer
    x = 118,167.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.