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Finding the Third Proportional to 83,070 and 177,015

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Solution

The third proportional to 83,070 and 177,015 is: 377,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070 : 177,015 = 177,015 : x
  2. Step 2: Convert to fraction form
    83,070/177,015 = 177,015/x
  3. Step 3: Cross multiply
    83,070x = 177,015 × 177,015
  4. Step 4: Simplify right side
    83,070x = 31,334,310,225
  5. Step 5: Solve for x
    x = 31,334,310,225/83,070
  6. Step 6: Final answer
    x = 377,203.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.