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Finding the Third Proportional to 81,201 and 177,157

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Solution

The third proportional to 81,201 and 177,157 is: 386,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,201 : 177,157 = 177,157 : x
  2. Step 2: Convert to fraction form
    81,201/177,157 = 177,157/x
  3. Step 3: Cross multiply
    81,201x = 177,157 × 177,157
  4. Step 4: Simplify right side
    81,201x = 31,384,602,649
  5. Step 5: Solve for x
    x = 31,384,602,649/81,201
  6. Step 6: Final answer
    x = 386,505.12

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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.