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Finding the Third Proportional to 48,558 and 77,208

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Solution

The third proportional to 48,558 and 77,208 is: 122,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,558 : 77,208 = 77,208 : x
  2. Step 2: Convert to fraction form
    48,558/77,208 = 77,208/x
  3. Step 3: Cross multiply
    48,558x = 77,208 × 77,208
  4. Step 4: Simplify right side
    48,558x = 5,961,075,264
  5. Step 5: Solve for x
    x = 5,961,075,264/48,558
  6. Step 6: Final answer
    x = 122,761.96

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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.