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Finding the Third Proportional to 65,472 and 100,693

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Solution

The third proportional to 65,472 and 100,693 is: 154,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472 : 100,693 = 100,693 : x
  2. Step 2: Convert to fraction form
    65,472/100,693 = 100,693/x
  3. Step 3: Cross multiply
    65,472x = 100,693 × 100,693
  4. Step 4: Simplify right side
    65,472x = 10,139,080,249
  5. Step 5: Solve for x
    x = 10,139,080,249/65,472
  6. Step 6: Final answer
    x = 154,861.32

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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.