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Finding the Third Proportional to 125,192.25 and 265,283.44

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Solution

The third proportional to 125,192.25 and 265,283.44 is: 562,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,192.25 : 265,283.44 = 265,283.44 : x
  2. Step 2: Convert to fraction form
    125,192.25/265,283.44 = 265,283.44/x
  3. Step 3: Cross multiply
    125,192.25x = 265,283.44 × 265,283.44
  4. Step 4: Simplify right side
    125,192.25x = 70,375,302,211.82
  5. Step 5: Solve for x
    x = 70,375,302,211.82/125,192.25
  6. Step 6: Final answer
    x = 562,137.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.