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Finding the Third Proportional to 53,176.50 and 111,861

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Solution

The third proportional to 53,176.50 and 111,861 is: 235,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,176.50 : 111,861 = 111,861 : x
  2. Step 2: Convert to fraction form
    53,176.50/111,861 = 111,861/x
  3. Step 3: Cross multiply
    53,176.50x = 111,861 × 111,861
  4. Step 4: Simplify right side
    53,176.50x = 12,512,883,321
  5. Step 5: Solve for x
    x = 12,512,883,321/53,176.50
  6. Step 6: Final answer
    x = 235,308.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.