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Finding the Third Proportional to 74,000.25 and 110,563.88

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Solution

The third proportional to 74,000.25 and 110,563.88 is: 165,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.25 : 110,563.88 = 110,563.88 : x
  2. Step 2: Convert to fraction form
    74,000.25/110,563.88 = 110,563.88/x
  3. Step 3: Cross multiply
    74,000.25x = 110,563.88 × 110,563.88
  4. Step 4: Simplify right side
    74,000.25x = 12,224,370,455.02
  5. Step 5: Solve for x
    x = 12,224,370,455.02/74,000.25
  6. Step 6: Final answer
    x = 165,193.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.