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Finding the Third Proportional to 53,148 and 115,026

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Solution

The third proportional to 53,148 and 115,026 is: 248,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148 : 115,026 = 115,026 : x
  2. Step 2: Convert to fraction form
    53,148/115,026 = 115,026/x
  3. Step 3: Cross multiply
    53,148x = 115,026 × 115,026
  4. Step 4: Simplify right side
    53,148x = 13,230,980,676
  5. Step 5: Solve for x
    x = 13,230,980,676/53,148
  6. Step 6: Final answer
    x = 248,945.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.