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Finding the Third Proportional to 125,246 and 258,772

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Solution

The third proportional to 125,246 and 258,772 is: 534,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,246 : 258,772 = 258,772 : x
  2. Step 2: Convert to fraction form
    125,246/258,772 = 258,772/x
  3. Step 3: Cross multiply
    125,246x = 258,772 × 258,772
  4. Step 4: Simplify right side
    125,246x = 66,962,947,984
  5. Step 5: Solve for x
    x = 66,962,947,984/125,246
  6. Step 6: Final answer
    x = 534,651.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.