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Finding the Third Proportional to 53,014 and 115,377

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Solution

The third proportional to 53,014 and 115,377 is: 251,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014 : 115,377 = 115,377 : x
  2. Step 2: Convert to fraction form
    53,014/115,377 = 115,377/x
  3. Step 3: Cross multiply
    53,014x = 115,377 × 115,377
  4. Step 4: Simplify right side
    53,014x = 13,311,852,129
  5. Step 5: Solve for x
    x = 13,311,852,129/53,014
  6. Step 6: Final answer
    x = 251,100.69

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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.