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Finding the Third Proportional to 55,080 and 113,420.25

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Solution

The third proportional to 55,080 and 113,420.25 is: 233,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,080 : 113,420.25 = 113,420.25 : x
  2. Step 2: Convert to fraction form
    55,080/113,420.25 = 113,420.25/x
  3. Step 3: Cross multiply
    55,080x = 113,420.25 × 113,420.25
  4. Step 4: Simplify right side
    55,080x = 12,864,153,110.06
  5. Step 5: Solve for x
    x = 12,864,153,110.06/55,080
  6. Step 6: Final answer
    x = 233,553.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.