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Finding the Third Proportional to 46,234 and 74,431

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Solution

The third proportional to 46,234 and 74,431 is: 119,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234 : 74,431 = 74,431 : x
  2. Step 2: Convert to fraction form
    46,234/74,431 = 74,431/x
  3. Step 3: Cross multiply
    46,234x = 74,431 × 74,431
  4. Step 4: Simplify right side
    46,234x = 5,539,973,761
  5. Step 5: Solve for x
    x = 5,539,973,761/46,234
  6. Step 6: Final answer
    x = 119,824.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.