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Finding the Third Proportional to 50,232 and 77,052

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Solution

The third proportional to 50,232 and 77,052 is: 118,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,232 : 77,052 = 77,052 : x
  2. Step 2: Convert to fraction form
    50,232/77,052 = 77,052/x
  3. Step 3: Cross multiply
    50,232x = 77,052 × 77,052
  4. Step 4: Simplify right side
    50,232x = 5,937,010,704
  5. Step 5: Solve for x
    x = 5,937,010,704/50,232
  6. Step 6: Final answer
    x = 118,191.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.