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Finding the Third Proportional to 85,880 and 183,554

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Solution

The third proportional to 85,880 and 183,554 is: 392,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,880 : 183,554 = 183,554 : x
  2. Step 2: Convert to fraction form
    85,880/183,554 = 183,554/x
  3. Step 3: Cross multiply
    85,880x = 183,554 × 183,554
  4. Step 4: Simplify right side
    85,880x = 33,692,070,916
  5. Step 5: Solve for x
    x = 33,692,070,916/85,880
  6. Step 6: Final answer
    x = 392,315.68

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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.