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Finding the Third Proportional to 75,526 and 105,874

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Solution

The third proportional to 75,526 and 105,874 is: 148,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,526 : 105,874 = 105,874 : x
  2. Step 2: Convert to fraction form
    75,526/105,874 = 105,874/x
  3. Step 3: Cross multiply
    75,526x = 105,874 × 105,874
  4. Step 4: Simplify right side
    75,526x = 11,209,303,876
  5. Step 5: Solve for x
    x = 11,209,303,876/75,526
  6. Step 6: Final answer
    x = 148,416.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.