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Finding the Third Proportional to 41,257 and 71,929.50

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Solution

The third proportional to 41,257 and 71,929.50 is: 125,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257 : 71,929.50 = 71,929.50 : x
  2. Step 2: Convert to fraction form
    41,257/71,929.50 = 71,929.50/x
  3. Step 3: Cross multiply
    41,257x = 71,929.50 × 71,929.50
  4. Step 4: Simplify right side
    41,257x = 5,173,852,970.25
  5. Step 5: Solve for x
    x = 5,173,852,970.25/41,257
  6. Step 6: Final answer
    x = 125,405.46

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.