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Finding the Third Proportional to 53,114 and 115,594

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Solution

The third proportional to 53,114 and 115,594 is: 251,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114 : 115,594 = 115,594 : x
  2. Step 2: Convert to fraction form
    53,114/115,594 = 115,594/x
  3. Step 3: Cross multiply
    53,114x = 115,594 × 115,594
  4. Step 4: Simplify right side
    53,114x = 13,361,972,836
  5. Step 5: Solve for x
    x = 13,361,972,836/53,114
  6. Step 6: Final answer
    x = 251,571.58

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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.