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Finding the Third Proportional to 85,096 and 181,776

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Solution

The third proportional to 85,096 and 181,776 is: 388,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,096 : 181,776 = 181,776 : x
  2. Step 2: Convert to fraction form
    85,096/181,776 = 181,776/x
  3. Step 3: Cross multiply
    85,096x = 181,776 × 181,776
  4. Step 4: Simplify right side
    85,096x = 33,042,514,176
  5. Step 5: Solve for x
    x = 33,042,514,176/85,096
  6. Step 6: Final answer
    x = 388,296.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.