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Finding the Third Proportional to 65,088 and 134,064

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Solution

The third proportional to 65,088 and 134,064 is: 276,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088 : 134,064 = 134,064 : x
  2. Step 2: Convert to fraction form
    65,088/134,064 = 134,064/x
  3. Step 3: Cross multiply
    65,088x = 134,064 × 134,064
  4. Step 4: Simplify right side
    65,088x = 17,973,156,096
  5. Step 5: Solve for x
    x = 17,973,156,096/65,088
  6. Step 6: Final answer
    x = 276,136.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.