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Finding the Third Proportional to 43,553 and 95,409

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Solution

The third proportional to 43,553 and 95,409 is: 209,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,553 : 95,409 = 95,409 : x
  2. Step 2: Convert to fraction form
    43,553/95,409 = 95,409/x
  3. Step 3: Cross multiply
    43,553x = 95,409 × 95,409
  4. Step 4: Simplify right side
    43,553x = 9,102,877,281
  5. Step 5: Solve for x
    x = 9,102,877,281/43,553
  6. Step 6: Final answer
    x = 209,006.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.