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Finding the Third Proportional to 53,854 and 115,039

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Solution

The third proportional to 53,854 and 115,039 is: 245,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854 : 115,039 = 115,039 : x
  2. Step 2: Convert to fraction form
    53,854/115,039 = 115,039/x
  3. Step 3: Cross multiply
    53,854x = 115,039 × 115,039
  4. Step 4: Simplify right side
    53,854x = 13,233,971,521
  5. Step 5: Solve for x
    x = 13,233,971,521/53,854
  6. Step 6: Final answer
    x = 245,737.95

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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.