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Finding the Third Proportional to 85,546 and 182,708

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Solution

The third proportional to 85,546 and 182,708 is: 390,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,546 : 182,708 = 182,708 : x
  2. Step 2: Convert to fraction form
    85,546/182,708 = 182,708/x
  3. Step 3: Cross multiply
    85,546x = 182,708 × 182,708
  4. Step 4: Simplify right side
    85,546x = 33,382,213,264
  5. Step 5: Solve for x
    x = 33,382,213,264/85,546
  6. Step 6: Final answer
    x = 390,225.30

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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.