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Finding the Third Proportional to 53,031 and 115,175

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Solution

The third proportional to 53,031 and 115,175 is: 250,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,031 : 115,175 = 115,175 : x
  2. Step 2: Convert to fraction form
    53,031/115,175 = 115,175/x
  3. Step 3: Cross multiply
    53,031x = 115,175 × 115,175
  4. Step 4: Simplify right side
    53,031x = 13,265,280,625
  5. Step 5: Solve for x
    x = 13,265,280,625/53,031
  6. Step 6: Final answer
    x = 250,142.00

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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.