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Finding the Third Proportional to 49,317 and 77,262

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Solution

The third proportional to 49,317 and 77,262 is: 121,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317 : 77,262 = 77,262 : x
  2. Step 2: Convert to fraction form
    49,317/77,262 = 77,262/x
  3. Step 3: Cross multiply
    49,317x = 77,262 × 77,262
  4. Step 4: Simplify right side
    49,317x = 5,969,416,644
  5. Step 5: Solve for x
    x = 5,969,416,644/49,317
  6. Step 6: Final answer
    x = 121,041.76

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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.