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Finding the Third Proportional to 56,118 and 93,519

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Solution

The third proportional to 56,118 and 93,519 is: 155,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,118 : 93,519 = 93,519 : x
  2. Step 2: Convert to fraction form
    56,118/93,519 = 93,519/x
  3. Step 3: Cross multiply
    56,118x = 93,519 × 93,519
  4. Step 4: Simplify right side
    56,118x = 8,745,803,361
  5. Step 5: Solve for x
    x = 8,745,803,361/56,118
  6. Step 6: Final answer
    x = 155,846.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.