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Finding the Third Proportional to 58,278 and 88,233

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Solution

The third proportional to 58,278 and 88,233 is: 133,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,278 : 88,233 = 88,233 : x
  2. Step 2: Convert to fraction form
    58,278/88,233 = 88,233/x
  3. Step 3: Cross multiply
    58,278x = 88,233 × 88,233
  4. Step 4: Simplify right side
    58,278x = 7,785,062,289
  5. Step 5: Solve for x
    x = 7,785,062,289/58,278
  6. Step 6: Final answer
    x = 133,584.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.