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Finding the Third Proportional to 53,860 and 114,529

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Solution

The third proportional to 53,860 and 114,529 is: 243,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,860 : 114,529 = 114,529 : x
  2. Step 2: Convert to fraction form
    53,860/114,529 = 114,529/x
  3. Step 3: Cross multiply
    53,860x = 114,529 × 114,529
  4. Step 4: Simplify right side
    53,860x = 13,116,891,841
  5. Step 5: Solve for x
    x = 13,116,891,841/53,860
  6. Step 6: Final answer
    x = 243,536.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.