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Finding the Third Proportional to 53,898 and 115,124

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Solution

The third proportional to 53,898 and 115,124 is: 245,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898 : 115,124 = 115,124 : x
  2. Step 2: Convert to fraction form
    53,898/115,124 = 115,124/x
  3. Step 3: Cross multiply
    53,898x = 115,124 × 115,124
  4. Step 4: Simplify right side
    53,898x = 13,253,535,376
  5. Step 5: Solve for x
    x = 13,253,535,376/53,898
  6. Step 6: Final answer
    x = 245,900.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.