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Finding the Third Proportional to 85,480 and 186,010

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Solution

The third proportional to 85,480 and 186,010 is: 404,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,480 : 186,010 = 186,010 : x
  2. Step 2: Convert to fraction form
    85,480/186,010 = 186,010/x
  3. Step 3: Cross multiply
    85,480x = 186,010 × 186,010
  4. Step 4: Simplify right side
    85,480x = 34,599,720,100
  5. Step 5: Solve for x
    x = 34,599,720,100/85,480
  6. Step 6: Final answer
    x = 404,769.77

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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.