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Finding the Third Proportional to 106,525 and 232,118

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Solution

The third proportional to 106,525 and 232,118 is: 505,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525 : 232,118 = 232,118 : x
  2. Step 2: Convert to fraction form
    106,525/232,118 = 232,118/x
  3. Step 3: Cross multiply
    106,525x = 232,118 × 232,118
  4. Step 4: Simplify right side
    106,525x = 53,878,765,924
  5. Step 5: Solve for x
    x = 53,878,765,924/106,525
  6. Step 6: Final answer
    x = 505,785.18

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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.