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Finding the Third Proportional to 53,919 and 73,255.50

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Solution

The third proportional to 53,919 and 73,255.50 is: 99,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,919 : 73,255.50 = 73,255.50 : x
  2. Step 2: Convert to fraction form
    53,919/73,255.50 = 73,255.50/x
  3. Step 3: Cross multiply
    53,919x = 73,255.50 × 73,255.50
  4. Step 4: Simplify right side
    53,919x = 5,366,368,280.25
  5. Step 5: Solve for x
    x = 5,366,368,280.25/53,919
  6. Step 6: Final answer
    x = 99,526.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.