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Finding the Third Proportional to 49,334 and 77,308

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Solution

The third proportional to 49,334 and 77,308 is: 121,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,334 : 77,308 = 77,308 : x
  2. Step 2: Convert to fraction form
    49,334/77,308 = 77,308/x
  3. Step 3: Cross multiply
    49,334x = 77,308 × 77,308
  4. Step 4: Simplify right side
    49,334x = 5,976,526,864
  5. Step 5: Solve for x
    x = 5,976,526,864/49,334
  6. Step 6: Final answer
    x = 121,144.18

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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.