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Finding the Third Proportional to 49,265 and 72,149.50

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Solution

The third proportional to 49,265 and 72,149.50 is: 105,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265 : 72,149.50 = 72,149.50 : x
  2. Step 2: Convert to fraction form
    49,265/72,149.50 = 72,149.50/x
  3. Step 3: Cross multiply
    49,265x = 72,149.50 × 72,149.50
  4. Step 4: Simplify right side
    49,265x = 5,205,550,350.25
  5. Step 5: Solve for x
    x = 5,205,550,350.25/49,265
  6. Step 6: Final answer
    x = 105,664.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.