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Finding the Third Proportional to 55,702 and 117,235

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Solution

The third proportional to 55,702 and 117,235 is: 246,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702 : 117,235 = 117,235 : x
  2. Step 2: Convert to fraction form
    55,702/117,235 = 117,235/x
  3. Step 3: Cross multiply
    55,702x = 117,235 × 117,235
  4. Step 4: Simplify right side
    55,702x = 13,744,045,225
  5. Step 5: Solve for x
    x = 13,744,045,225/55,702
  6. Step 6: Final answer
    x = 246,742.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.