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Finding the Third Proportional to 46,442 and 76,837

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Solution

The third proportional to 46,442 and 76,837 is: 127,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,442 : 76,837 = 76,837 : x
  2. Step 2: Convert to fraction form
    46,442/76,837 = 76,837/x
  3. Step 3: Cross multiply
    46,442x = 76,837 × 76,837
  4. Step 4: Simplify right side
    46,442x = 5,903,924,569
  5. Step 5: Solve for x
    x = 5,903,924,569/46,442
  6. Step 6: Final answer
    x = 127,124.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.