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Finding the Third Proportional to 53,036 and 115,538

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Solution

The third proportional to 53,036 and 115,538 is: 251,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,036 : 115,538 = 115,538 : x
  2. Step 2: Convert to fraction form
    53,036/115,538 = 115,538/x
  3. Step 3: Cross multiply
    53,036x = 115,538 × 115,538
  4. Step 4: Simplify right side
    53,036x = 13,349,029,444
  5. Step 5: Solve for x
    x = 13,349,029,444/53,036
  6. Step 6: Final answer
    x = 251,697.52

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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.