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Finding the Third Proportional to 65,082 and 131,973.75

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Solution

The third proportional to 65,082 and 131,973.75 is: 267,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082 : 131,973.75 = 131,973.75 : x
  2. Step 2: Convert to fraction form
    65,082/131,973.75 = 131,973.75/x
  3. Step 3: Cross multiply
    65,082x = 131,973.75 × 131,973.75
  4. Step 4: Simplify right side
    65,082x = 17,417,070,689.06
  5. Step 5: Solve for x
    x = 17,417,070,689.06/65,082
  6. Step 6: Final answer
    x = 267,617.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.