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Finding the Third Proportional to 48,738 and 77,543

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Solution

The third proportional to 48,738 and 77,543 is: 123,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738 : 77,543 = 77,543 : x
  2. Step 2: Convert to fraction form
    48,738/77,543 = 77,543/x
  3. Step 3: Cross multiply
    48,738x = 77,543 × 77,543
  4. Step 4: Simplify right side
    48,738x = 6,012,916,849
  5. Step 5: Solve for x
    x = 6,012,916,849/48,738
  6. Step 6: Final answer
    x = 123,372.25

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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.