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Finding the Third Proportional to 125,144 and 259,159

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Solution

The third proportional to 125,144 and 259,159 is: 536,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,144 : 259,159 = 259,159 : x
  2. Step 2: Convert to fraction form
    125,144/259,159 = 259,159/x
  3. Step 3: Cross multiply
    125,144x = 259,159 × 259,159
  4. Step 4: Simplify right side
    125,144x = 67,163,387,281
  5. Step 5: Solve for x
    x = 67,163,387,281/125,144
  6. Step 6: Final answer
    x = 536,688.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.