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Finding the Third Proportional to 58,482 and 88,249

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Solution

The third proportional to 58,482 and 88,249 is: 133,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,482 : 88,249 = 88,249 : x
  2. Step 2: Convert to fraction form
    58,482/88,249 = 88,249/x
  3. Step 3: Cross multiply
    58,482x = 88,249 × 88,249
  4. Step 4: Simplify right side
    58,482x = 7,787,886,001
  5. Step 5: Solve for x
    x = 7,787,886,001/58,482
  6. Step 6: Final answer
    x = 133,167.23

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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.