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Finding the Third Proportional to 125,953 and 259,295

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Solution

The third proportional to 125,953 and 259,295 is: 533,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,953 : 259,295 = 259,295 : x
  2. Step 2: Convert to fraction form
    125,953/259,295 = 259,295/x
  3. Step 3: Cross multiply
    125,953x = 259,295 × 259,295
  4. Step 4: Simplify right side
    125,953x = 67,233,897,025
  5. Step 5: Solve for x
    x = 67,233,897,025/125,953
  6. Step 6: Final answer
    x = 533,801.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.