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Finding the Third Proportional to 121,725 and 262,890

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Solution

The third proportional to 121,725 and 262,890 is: 567,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,725 : 262,890 = 262,890 : x
  2. Step 2: Convert to fraction form
    121,725/262,890 = 262,890/x
  3. Step 3: Cross multiply
    121,725x = 262,890 × 262,890
  4. Step 4: Simplify right side
    121,725x = 69,111,152,100
  5. Step 5: Solve for x
    x = 69,111,152,100/121,725
  6. Step 6: Final answer
    x = 567,764.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.