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Finding the Third Proportional to 48,932 and 77,764

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Solution

The third proportional to 48,932 and 77,764 is: 123,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,932 : 77,764 = 77,764 : x
  2. Step 2: Convert to fraction form
    48,932/77,764 = 77,764/x
  3. Step 3: Cross multiply
    48,932x = 77,764 × 77,764
  4. Step 4: Simplify right side
    48,932x = 6,047,239,696
  5. Step 5: Solve for x
    x = 6,047,239,696/48,932
  6. Step 6: Final answer
    x = 123,584.56

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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.