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Finding the Third Proportional to 115,994 and 253,129

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Solution

The third proportional to 115,994 and 253,129 is: 552,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,994 : 253,129 = 253,129 : x
  2. Step 2: Convert to fraction form
    115,994/253,129 = 253,129/x
  3. Step 3: Cross multiply
    115,994x = 253,129 × 253,129
  4. Step 4: Simplify right side
    115,994x = 64,074,290,641
  5. Step 5: Solve for x
    x = 64,074,290,641/115,994
  6. Step 6: Final answer
    x = 552,393.15

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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.