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Finding the Third Proportional to 55,507 and 119,881

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Solution

The third proportional to 55,507 and 119,881 is: 258,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,507 : 119,881 = 119,881 : x
  2. Step 2: Convert to fraction form
    55,507/119,881 = 119,881/x
  3. Step 3: Cross multiply
    55,507x = 119,881 × 119,881
  4. Step 4: Simplify right side
    55,507x = 14,371,454,161
  5. Step 5: Solve for x
    x = 14,371,454,161/55,507
  6. Step 6: Final answer
    x = 258,912.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.