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Finding the Third Proportional to 50,472 and 78,984

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Solution

The third proportional to 50,472 and 78,984 is: 123,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 78,984 = 78,984 : x
  2. Step 2: Convert to fraction form
    50,472/78,984 = 78,984/x
  3. Step 3: Cross multiply
    50,472x = 78,984 × 78,984
  4. Step 4: Simplify right side
    50,472x = 6,238,472,256
  5. Step 5: Solve for x
    x = 6,238,472,256/50,472
  6. Step 6: Final answer
    x = 123,602.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.