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Finding the Third Proportional to 123,132 and 265,948

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Solution

The third proportional to 123,132 and 265,948 is: 574,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,132 : 265,948 = 265,948 : x
  2. Step 2: Convert to fraction form
    123,132/265,948 = 265,948/x
  3. Step 3: Cross multiply
    123,132x = 265,948 × 265,948
  4. Step 4: Simplify right side
    123,132x = 70,728,338,704
  5. Step 5: Solve for x
    x = 70,728,338,704/123,132
  6. Step 6: Final answer
    x = 574,410.70

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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.