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Finding the Third Proportional to 65,970 and 101,493

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Solution

The third proportional to 65,970 and 101,493 is: 156,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970 : 101,493 = 101,493 : x
  2. Step 2: Convert to fraction form
    65,970/101,493 = 101,493/x
  3. Step 3: Cross multiply
    65,970x = 101,493 × 101,493
  4. Step 4: Simplify right side
    65,970x = 10,300,829,049
  5. Step 5: Solve for x
    x = 10,300,829,049/65,970
  6. Step 6: Final answer
    x = 156,144.14

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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.