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Finding the Third Proportional to 125,145 and 259,162.03

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Solution

The third proportional to 125,145 and 259,162.03 is: 536,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,145 : 259,162.03 = 259,162.03 : x
  2. Step 2: Convert to fraction form
    125,145/259,162.03 = 259,162.03/x
  3. Step 3: Cross multiply
    125,145x = 259,162.03 × 259,162.03
  4. Step 4: Simplify right side
    125,145x = 67,164,958,441.63
  5. Step 5: Solve for x
    x = 67,164,958,441.63/125,145
  6. Step 6: Final answer
    x = 536,697.10

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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.