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Finding the Third Proportional to 43,655 and 95,306

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Solution

The third proportional to 43,655 and 95,306 is: 208,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,655 : 95,306 = 95,306 : x
  2. Step 2: Convert to fraction form
    43,655/95,306 = 95,306/x
  3. Step 3: Cross multiply
    43,655x = 95,306 × 95,306
  4. Step 4: Simplify right side
    43,655x = 9,083,233,636
  5. Step 5: Solve for x
    x = 9,083,233,636/43,655
  6. Step 6: Final answer
    x = 208,068.57

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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.