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Finding the Third Proportional to 56,286 and 89,126

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Solution

The third proportional to 56,286 and 89,126 is: 141,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,286 : 89,126 = 89,126 : x
  2. Step 2: Convert to fraction form
    56,286/89,126 = 89,126/x
  3. Step 3: Cross multiply
    56,286x = 89,126 × 89,126
  4. Step 4: Simplify right side
    56,286x = 7,943,443,876
  5. Step 5: Solve for x
    x = 7,943,443,876/56,286
  6. Step 6: Final answer
    x = 141,126.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.