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Finding the Third Proportional to 50,391 and 72,842.06

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Solution

The third proportional to 50,391 and 72,842.06 is: 105,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,391 : 72,842.06 = 72,842.06 : x
  2. Step 2: Convert to fraction form
    50,391/72,842.06 = 72,842.06/x
  3. Step 3: Cross multiply
    50,391x = 72,842.06 × 72,842.06
  4. Step 4: Simplify right side
    50,391x = 5,305,966,069.25
  5. Step 5: Solve for x
    x = 5,305,966,069.25/50,391
  6. Step 6: Final answer
    x = 105,295.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.