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Finding the Third Proportional to 55,508.25 and 119,895

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Solution

The third proportional to 55,508.25 and 119,895 is: 258,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,508.25 : 119,895 = 119,895 : x
  2. Step 2: Convert to fraction form
    55,508.25/119,895 = 119,895/x
  3. Step 3: Cross multiply
    55,508.25x = 119,895 × 119,895
  4. Step 4: Simplify right side
    55,508.25x = 14,374,811,025
  5. Step 5: Solve for x
    x = 14,374,811,025/55,508.25
  6. Step 6: Final answer
    x = 258,967.11

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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.