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Finding the Third Proportional to 117,525 and 179,043

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Solution

The third proportional to 117,525 and 179,043 is: 272,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,525 : 179,043 = 179,043 : x
  2. Step 2: Convert to fraction form
    117,525/179,043 = 179,043/x
  3. Step 3: Cross multiply
    117,525x = 179,043 × 179,043
  4. Step 4: Simplify right side
    117,525x = 32,056,395,849
  5. Step 5: Solve for x
    x = 32,056,395,849/117,525
  6. Step 6: Final answer
    x = 272,762.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.