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Finding the Third Proportional to 52,646 and 114,040

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Solution

The third proportional to 52,646 and 114,040 is: 247,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646 : 114,040 = 114,040 : x
  2. Step 2: Convert to fraction form
    52,646/114,040 = 114,040/x
  3. Step 3: Cross multiply
    52,646x = 114,040 × 114,040
  4. Step 4: Simplify right side
    52,646x = 13,005,121,600
  5. Step 5: Solve for x
    x = 13,005,121,600/52,646
  6. Step 6: Final answer
    x = 247,029.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.