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Finding the Third Proportional to 89,402 and 125,286

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Solution

The third proportional to 89,402 and 125,286 is: 175,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,402 : 125,286 = 125,286 : x
  2. Step 2: Convert to fraction form
    89,402/125,286 = 125,286/x
  3. Step 3: Cross multiply
    89,402x = 125,286 × 125,286
  4. Step 4: Simplify right side
    89,402x = 15,696,581,796
  5. Step 5: Solve for x
    x = 15,696,581,796/89,402
  6. Step 6: Final answer
    x = 175,573.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.