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Finding the Third Proportional to 44,617 and 92,931

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Solution

The third proportional to 44,617 and 92,931 is: 193,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,617 : 92,931 = 92,931 : x
  2. Step 2: Convert to fraction form
    44,617/92,931 = 92,931/x
  3. Step 3: Cross multiply
    44,617x = 92,931 × 92,931
  4. Step 4: Simplify right side
    44,617x = 8,636,170,761
  5. Step 5: Solve for x
    x = 8,636,170,761/44,617
  6. Step 6: Final answer
    x = 193,562.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.