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Finding the Third Proportional to 55,684.13 and 113,312.25

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Solution

The third proportional to 55,684.13 and 113,312.25 is: 230,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,684.13 : 113,312.25 = 113,312.25 : x
  2. Step 2: Convert to fraction form
    55,684.13/113,312.25 = 113,312.25/x
  3. Step 3: Cross multiply
    55,684.13x = 113,312.25 × 113,312.25
  4. Step 4: Simplify right side
    55,684.13x = 12,839,666,000.06
  5. Step 5: Solve for x
    x = 12,839,666,000.06/55,684.13
  6. Step 6: Final answer
    x = 230,580.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.