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Finding the Third Proportional to 65,265 and 101,745

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Solution

The third proportional to 65,265 and 101,745 is: 158,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265 : 101,745 = 101,745 : x
  2. Step 2: Convert to fraction form
    65,265/101,745 = 101,745/x
  3. Step 3: Cross multiply
    65,265x = 101,745 × 101,745
  4. Step 4: Simplify right side
    65,265x = 10,352,045,025
  5. Step 5: Solve for x
    x = 10,352,045,025/65,265
  6. Step 6: Final answer
    x = 158,615.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.