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Finding the Third Proportional to 85,896 and 133,582

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Solution

The third proportional to 85,896 and 133,582 is: 207,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896 : 133,582 = 133,582 : x
  2. Step 2: Convert to fraction form
    85,896/133,582 = 133,582/x
  3. Step 3: Cross multiply
    85,896x = 133,582 × 133,582
  4. Step 4: Simplify right side
    85,896x = 17,844,150,724
  5. Step 5: Solve for x
    x = 17,844,150,724/85,896
  6. Step 6: Final answer
    x = 207,741.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.