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Finding the Third Proportional to 112,307.25 and 149,506.88

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Solution

The third proportional to 112,307.25 and 149,506.88 is: 199,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,307.25 : 149,506.88 = 149,506.88 : x
  2. Step 2: Convert to fraction form
    112,307.25/149,506.88 = 149,506.88/x
  3. Step 3: Cross multiply
    112,307.25x = 149,506.88 × 149,506.88
  4. Step 4: Simplify right side
    112,307.25x = 22,352,305,672.27
  5. Step 5: Solve for x
    x = 22,352,305,672.27/112,307.25
  6. Step 6: Final answer
    x = 199,028.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.