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Finding the Third Proportional to 125,102 and 255,298

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Solution

The third proportional to 125,102 and 255,298 is: 520,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102 : 255,298 = 255,298 : x
  2. Step 2: Convert to fraction form
    125,102/255,298 = 255,298/x
  3. Step 3: Cross multiply
    125,102x = 255,298 × 255,298
  4. Step 4: Simplify right side
    125,102x = 65,177,068,804
  5. Step 5: Solve for x
    x = 65,177,068,804/125,102
  6. Step 6: Final answer
    x = 520,991.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.