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Finding the Third Proportional to 81,003 and 176,627

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Solution

The third proportional to 81,003 and 176,627 is: 385,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,003 : 176,627 = 176,627 : x
  2. Step 2: Convert to fraction form
    81,003/176,627 = 176,627/x
  3. Step 3: Cross multiply
    81,003x = 176,627 × 176,627
  4. Step 4: Simplify right side
    81,003x = 31,197,097,129
  5. Step 5: Solve for x
    x = 31,197,097,129/81,003
  6. Step 6: Final answer
    x = 385,135.08

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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.