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Finding the Third Proportional to 105,129 and 236,577

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Solution

The third proportional to 105,129 and 236,577 is: 532,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129 : 236,577 = 236,577 : x
  2. Step 2: Convert to fraction form
    105,129/236,577 = 236,577/x
  3. Step 3: Cross multiply
    105,129x = 236,577 × 236,577
  4. Step 4: Simplify right side
    105,129x = 55,968,676,929
  5. Step 5: Solve for x
    x = 55,968,676,929/105,129
  6. Step 6: Final answer
    x = 532,380.95

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.