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Finding the Third Proportional to 85,588 and 125,958

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Solution

The third proportional to 85,588 and 125,958 is: 185,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,588 : 125,958 = 125,958 : x
  2. Step 2: Convert to fraction form
    85,588/125,958 = 125,958/x
  3. Step 3: Cross multiply
    85,588x = 125,958 × 125,958
  4. Step 4: Simplify right side
    85,588x = 15,865,417,764
  5. Step 5: Solve for x
    x = 15,865,417,764/85,588
  6. Step 6: Final answer
    x = 185,369.65

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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.