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Finding the Third Proportional to 53,032 and 115,442

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Solution

The third proportional to 53,032 and 115,442 is: 251,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032 : 115,442 = 115,442 : x
  2. Step 2: Convert to fraction form
    53,032/115,442 = 115,442/x
  3. Step 3: Cross multiply
    53,032x = 115,442 × 115,442
  4. Step 4: Simplify right side
    53,032x = 13,326,855,364
  5. Step 5: Solve for x
    x = 13,326,855,364/53,032
  6. Step 6: Final answer
    x = 251,298.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.