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Finding the Third Proportional to 85,375 and 125,294.75

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Solution

The third proportional to 85,375 and 125,294.75 is: 183,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,375 : 125,294.75 = 125,294.75 : x
  2. Step 2: Convert to fraction form
    85,375/125,294.75 = 125,294.75/x
  3. Step 3: Cross multiply
    85,375x = 125,294.75 × 125,294.75
  4. Step 4: Simplify right side
    85,375x = 15,698,774,377.56
  5. Step 5: Solve for x
    x = 15,698,774,377.56/85,375
  6. Step 6: Final answer
    x = 183,880.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.