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Finding the Third Proportional to 50,526 and 74,808

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Solution

The third proportional to 50,526 and 74,808 is: 110,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,526 : 74,808 = 74,808 : x
  2. Step 2: Convert to fraction form
    50,526/74,808 = 74,808/x
  3. Step 3: Cross multiply
    50,526x = 74,808 × 74,808
  4. Step 4: Simplify right side
    50,526x = 5,596,236,864
  5. Step 5: Solve for x
    x = 5,596,236,864/50,526
  6. Step 6: Final answer
    x = 110,759.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.