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Finding the Third Proportional to 125,272 and 262,852

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Solution

The third proportional to 125,272 and 262,852 is: 551,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,272 : 262,852 = 262,852 : x
  2. Step 2: Convert to fraction form
    125,272/262,852 = 262,852/x
  3. Step 3: Cross multiply
    125,272x = 262,852 × 262,852
  4. Step 4: Simplify right side
    125,272x = 69,091,173,904
  5. Step 5: Solve for x
    x = 69,091,173,904/125,272
  6. Step 6: Final answer
    x = 551,529.26

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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.