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Finding the Third Proportional to 46,930 and 72,775

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Solution

The third proportional to 46,930 and 72,775 is: 112,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930 : 72,775 = 72,775 : x
  2. Step 2: Convert to fraction form
    46,930/72,775 = 72,775/x
  3. Step 3: Cross multiply
    46,930x = 72,775 × 72,775
  4. Step 4: Simplify right side
    46,930x = 5,296,200,625
  5. Step 5: Solve for x
    x = 5,296,200,625/46,930
  6. Step 6: Final answer
    x = 112,853.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.