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Finding the Third Proportional to 50,454 and 72,015.75

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Solution

The third proportional to 50,454 and 72,015.75 is: 102,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454 : 72,015.75 = 72,015.75 : x
  2. Step 2: Convert to fraction form
    50,454/72,015.75 = 72,015.75/x
  3. Step 3: Cross multiply
    50,454x = 72,015.75 × 72,015.75
  4. Step 4: Simplify right side
    50,454x = 5,186,268,248.06
  5. Step 5: Solve for x
    x = 5,186,268,248.06/50,454
  6. Step 6: Final answer
    x = 102,792.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.