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Finding the Third Proportional to 65,997 and 87,513

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Solution

The third proportional to 65,997 and 87,513 is: 116,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,997 : 87,513 = 87,513 : x
  2. Step 2: Convert to fraction form
    65,997/87,513 = 87,513/x
  3. Step 3: Cross multiply
    65,997x = 87,513 × 87,513
  4. Step 4: Simplify right side
    65,997x = 7,658,525,169
  5. Step 5: Solve for x
    x = 7,658,525,169/65,997
  6. Step 6: Final answer
    x = 116,043.53

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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.