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Finding the Third Proportional to 65,094 and 134,076

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Solution

The third proportional to 65,094 and 134,076 is: 276,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094 : 134,076 = 134,076 : x
  2. Step 2: Convert to fraction form
    65,094/134,076 = 134,076/x
  3. Step 3: Cross multiply
    65,094x = 134,076 × 134,076
  4. Step 4: Simplify right side
    65,094x = 17,976,373,776
  5. Step 5: Solve for x
    x = 17,976,373,776/65,094
  6. Step 6: Final answer
    x = 276,160.23

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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.