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Finding the Third Proportional to 43,334 and 93,775

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Solution

The third proportional to 43,334 and 93,775 is: 202,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,334 : 93,775 = 93,775 : x
  2. Step 2: Convert to fraction form
    43,334/93,775 = 93,775/x
  3. Step 3: Cross multiply
    43,334x = 93,775 × 93,775
  4. Step 4: Simplify right side
    43,334x = 8,793,750,625
  5. Step 5: Solve for x
    x = 8,793,750,625/43,334
  6. Step 6: Final answer
    x = 202,929.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.