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Finding the Third Proportional to 41,232 and 88,294

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Solution

The third proportional to 41,232 and 88,294 is: 189,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,232 : 88,294 = 88,294 : x
  2. Step 2: Convert to fraction form
    41,232/88,294 = 88,294/x
  3. Step 3: Cross multiply
    41,232x = 88,294 × 88,294
  4. Step 4: Simplify right side
    41,232x = 7,795,830,436
  5. Step 5: Solve for x
    x = 7,795,830,436/41,232
  6. Step 6: Final answer
    x = 189,072.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.