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Finding the Third Proportional to 59,076 and 115,233

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Solution

The third proportional to 59,076 and 115,233 is: 224,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,076 : 115,233 = 115,233 : x
  2. Step 2: Convert to fraction form
    59,076/115,233 = 115,233/x
  3. Step 3: Cross multiply
    59,076x = 115,233 × 115,233
  4. Step 4: Simplify right side
    59,076x = 13,278,644,289
  5. Step 5: Solve for x
    x = 13,278,644,289/59,076
  6. Step 6: Final answer
    x = 224,772.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.