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Finding the Third Proportional to 49,722 and 77,095

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Solution

The third proportional to 49,722 and 77,095 is: 119,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,722 : 77,095 = 77,095 : x
  2. Step 2: Convert to fraction form
    49,722/77,095 = 77,095/x
  3. Step 3: Cross multiply
    49,722x = 77,095 × 77,095
  4. Step 4: Simplify right side
    49,722x = 5,943,639,025
  5. Step 5: Solve for x
    x = 5,943,639,025/49,722
  6. Step 6: Final answer
    x = 119,537.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.