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Finding the Third Proportional to 45,836 and 72,934

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Solution

The third proportional to 45,836 and 72,934 is: 116,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,836 : 72,934 = 72,934 : x
  2. Step 2: Convert to fraction form
    45,836/72,934 = 72,934/x
  3. Step 3: Cross multiply
    45,836x = 72,934 × 72,934
  4. Step 4: Simplify right side
    45,836x = 5,319,368,356
  5. Step 5: Solve for x
    x = 5,319,368,356/45,836
  6. Step 6: Final answer
    x = 116,052.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.