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Finding the Third Proportional to 75,506 and 105,824

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Solution

The third proportional to 75,506 and 105,824 is: 148,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506 : 105,824 = 105,824 : x
  2. Step 2: Convert to fraction form
    75,506/105,824 = 105,824/x
  3. Step 3: Cross multiply
    75,506x = 105,824 × 105,824
  4. Step 4: Simplify right side
    75,506x = 11,198,718,976
  5. Step 5: Solve for x
    x = 11,198,718,976/75,506
  6. Step 6: Final answer
    x = 148,315.62

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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.