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Finding the Third Proportional to 123,892 and 265,272

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Solution

The third proportional to 123,892 and 265,272 is: 567,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,892 : 265,272 = 265,272 : x
  2. Step 2: Convert to fraction form
    123,892/265,272 = 265,272/x
  3. Step 3: Cross multiply
    123,892x = 265,272 × 265,272
  4. Step 4: Simplify right side
    123,892x = 70,369,233,984
  5. Step 5: Solve for x
    x = 70,369,233,984/123,892
  6. Step 6: Final answer
    x = 567,988.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.