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Finding the Third Proportional to 137,970 and 281,772

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Solution

The third proportional to 137,970 and 281,772 is: 575,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970 : 281,772 = 281,772 : x
  2. Step 2: Convert to fraction form
    137,970/281,772 = 281,772/x
  3. Step 3: Cross multiply
    137,970x = 281,772 × 281,772
  4. Step 4: Simplify right side
    137,970x = 79,395,459,984
  5. Step 5: Solve for x
    x = 79,395,459,984/137,970
  6. Step 6: Final answer
    x = 575,454.52

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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.