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Finding the Third Proportional to 125,374.50 and 261,085.50

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Solution

The third proportional to 125,374.50 and 261,085.50 is: 543,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,374.50 : 261,085.50 = 261,085.50 : x
  2. Step 2: Convert to fraction form
    125,374.50/261,085.50 = 261,085.50/x
  3. Step 3: Cross multiply
    125,374.50x = 261,085.50 × 261,085.50
  4. Step 4: Simplify right side
    125,374.50x = 68,165,638,310.25
  5. Step 5: Solve for x
    x = 68,165,638,310.25/125,374.50
  6. Step 6: Final answer
    x = 543,696.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.