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Finding the Third Proportional to 82,010 and 177,637

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Solution

The third proportional to 82,010 and 177,637 is: 384,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,010 : 177,637 = 177,637 : x
  2. Step 2: Convert to fraction form
    82,010/177,637 = 177,637/x
  3. Step 3: Cross multiply
    82,010x = 177,637 × 177,637
  4. Step 4: Simplify right side
    82,010x = 31,554,903,769
  5. Step 5: Solve for x
    x = 31,554,903,769/82,010
  6. Step 6: Final answer
    x = 384,768.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.