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Finding the Third Proportional to 125,596 and 188,396

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Solution

The third proportional to 125,596 and 188,396 is: 282,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,596 : 188,396 = 188,396 : x
  2. Step 2: Convert to fraction form
    125,596/188,396 = 188,396/x
  3. Step 3: Cross multiply
    125,596x = 188,396 × 188,396
  4. Step 4: Simplify right side
    125,596x = 35,493,052,816
  5. Step 5: Solve for x
    x = 35,493,052,816/125,596
  6. Step 6: Final answer
    x = 282,597.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.