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Finding the Third Proportional to 125,040 and 263,148

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Solution

The third proportional to 125,040 and 263,148 is: 553,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,040 : 263,148 = 263,148 : x
  2. Step 2: Convert to fraction form
    125,040/263,148 = 263,148/x
  3. Step 3: Cross multiply
    125,040x = 263,148 × 263,148
  4. Step 4: Simplify right side
    125,040x = 69,246,869,904
  5. Step 5: Solve for x
    x = 69,246,869,904/125,040
  6. Step 6: Final answer
    x = 553,797.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.