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Finding the Third Proportional to 125,298 and 272,682

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Solution

The third proportional to 125,298 and 272,682 is: 593,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,298 : 272,682 = 272,682 : x
  2. Step 2: Convert to fraction form
    125,298/272,682 = 272,682/x
  3. Step 3: Cross multiply
    125,298x = 272,682 × 272,682
  4. Step 4: Simplify right side
    125,298x = 74,355,473,124
  5. Step 5: Solve for x
    x = 74,355,473,124/125,298
  6. Step 6: Final answer
    x = 593,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.