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Finding the Third Proportional to 43,657 and 95,309

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Solution

The third proportional to 43,657 and 95,309 is: 208,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,657 : 95,309 = 95,309 : x
  2. Step 2: Convert to fraction form
    43,657/95,309 = 95,309/x
  3. Step 3: Cross multiply
    43,657x = 95,309 × 95,309
  4. Step 4: Simplify right side
    43,657x = 9,083,805,481
  5. Step 5: Solve for x
    x = 9,083,805,481/43,657
  6. Step 6: Final answer
    x = 208,072.14

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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.