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Finding the Third Proportional to 50,287 and 74,560

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Solution

The third proportional to 50,287 and 74,560 is: 110,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,287 : 74,560 = 74,560 : x
  2. Step 2: Convert to fraction form
    50,287/74,560 = 74,560/x
  3. Step 3: Cross multiply
    50,287x = 74,560 × 74,560
  4. Step 4: Simplify right side
    50,287x = 5,559,193,600
  5. Step 5: Solve for x
    x = 5,559,193,600/50,287
  6. Step 6: Final answer
    x = 110,549.32

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