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Finding the Third Proportional to 82,999 and 124,580

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Solution

The third proportional to 82,999 and 124,580 is: 186,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,999 : 124,580 = 124,580 : x
  2. Step 2: Convert to fraction form
    82,999/124,580 = 124,580/x
  3. Step 3: Cross multiply
    82,999x = 124,580 × 124,580
  4. Step 4: Simplify right side
    82,999x = 15,520,176,400
  5. Step 5: Solve for x
    x = 15,520,176,400/82,999
  6. Step 6: Final answer
    x = 186,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.