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Finding the Third Proportional to 85,053 and 177,102

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Solution

The third proportional to 85,053 and 177,102 is: 368,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,053 : 177,102 = 177,102 : x
  2. Step 2: Convert to fraction form
    85,053/177,102 = 177,102/x
  3. Step 3: Cross multiply
    85,053x = 177,102 × 177,102
  4. Step 4: Simplify right side
    85,053x = 31,365,118,404
  5. Step 5: Solve for x
    x = 31,365,118,404/85,053
  6. Step 6: Final answer
    x = 368,771.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.