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Finding the Third Proportional to 85,416 and 125,916

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Solution

The third proportional to 85,416 and 125,916 is: 185,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416 : 125,916 = 125,916 : x
  2. Step 2: Convert to fraction form
    85,416/125,916 = 125,916/x
  3. Step 3: Cross multiply
    85,416x = 125,916 × 125,916
  4. Step 4: Simplify right side
    85,416x = 15,854,839,056
  5. Step 5: Solve for x
    x = 15,854,839,056/85,416
  6. Step 6: Final answer
    x = 185,619.08

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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.