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Finding the Third Proportional to 85,867.88 and 183,145.50

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Solution

The third proportional to 85,867.88 and 183,145.50 is: 390,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,867.88 : 183,145.50 = 183,145.50 : x
  2. Step 2: Convert to fraction form
    85,867.88/183,145.50 = 183,145.50/x
  3. Step 3: Cross multiply
    85,867.88x = 183,145.50 × 183,145.50
  4. Step 4: Simplify right side
    85,867.88x = 33,542,274,170.25
  5. Step 5: Solve for x
    x = 33,542,274,170.25/85,867.88
  6. Step 6: Final answer
    x = 390,626.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.