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Finding the Third Proportional to 65,606 and 101,319

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Solution

The third proportional to 65,606 and 101,319 is: 156,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,606 : 101,319 = 101,319 : x
  2. Step 2: Convert to fraction form
    65,606/101,319 = 101,319/x
  3. Step 3: Cross multiply
    65,606x = 101,319 × 101,319
  4. Step 4: Simplify right side
    65,606x = 10,265,539,761
  5. Step 5: Solve for x
    x = 10,265,539,761/65,606
  6. Step 6: Final answer
    x = 156,472.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.