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Finding the Third Proportional to 55,713.66 and 117,577.41

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Solution

The third proportional to 55,713.66 and 117,577.41 is: 248,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.66 : 117,577.41 = 117,577.41 : x
  2. Step 2: Convert to fraction form
    55,713.66/117,577.41 = 117,577.41/x
  3. Step 3: Cross multiply
    55,713.66x = 117,577.41 × 117,577.41
  4. Step 4: Simplify right side
    55,713.66x = 13,824,446,460.48
  5. Step 5: Solve for x
    x = 13,824,446,460.48/55,713.66
  6. Step 6: Final answer
    x = 248,133.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.