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Finding the Third Proportional to 46,156 and 72,308

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Solution

The third proportional to 46,156 and 72,308 is: 113,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,156 : 72,308 = 72,308 : x
  2. Step 2: Convert to fraction form
    46,156/72,308 = 72,308/x
  3. Step 3: Cross multiply
    46,156x = 72,308 × 72,308
  4. Step 4: Simplify right side
    46,156x = 5,228,446,864
  5. Step 5: Solve for x
    x = 5,228,446,864/46,156
  6. Step 6: Final answer
    x = 113,277.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.