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Finding the Third Proportional to 123,118 and 265,924

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Solution

The third proportional to 123,118 and 265,924 is: 574,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,118 : 265,924 = 265,924 : x
  2. Step 2: Convert to fraction form
    123,118/265,924 = 265,924/x
  3. Step 3: Cross multiply
    123,118x = 265,924 × 265,924
  4. Step 4: Simplify right side
    123,118x = 70,715,573,776
  5. Step 5: Solve for x
    x = 70,715,573,776/123,118
  6. Step 6: Final answer
    x = 574,372.34

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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.