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Finding the Third Proportional to 52,127.75 and 113,815

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Solution

The third proportional to 52,127.75 and 113,815 is: 248,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,127.75 : 113,815 = 113,815 : x
  2. Step 2: Convert to fraction form
    52,127.75/113,815 = 113,815/x
  3. Step 3: Cross multiply
    52,127.75x = 113,815 × 113,815
  4. Step 4: Simplify right side
    52,127.75x = 12,953,854,225
  5. Step 5: Solve for x
    x = 12,953,854,225/52,127.75
  6. Step 6: Final answer
    x = 248,502.08

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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.