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Finding the Third Proportional to 52,411 and 108,575

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Solution

The third proportional to 52,411 and 108,575 is: 224,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411 : 108,575 = 108,575 : x
  2. Step 2: Convert to fraction form
    52,411/108,575 = 108,575/x
  3. Step 3: Cross multiply
    52,411x = 108,575 × 108,575
  4. Step 4: Simplify right side
    52,411x = 11,788,530,625
  5. Step 5: Solve for x
    x = 11,788,530,625/52,411
  6. Step 6: Final answer
    x = 224,924.74

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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.