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Finding the Third Proportional to 39,610 and 86,050

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Solution

The third proportional to 39,610 and 86,050 is: 186,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,610 : 86,050 = 86,050 : x
  2. Step 2: Convert to fraction form
    39,610/86,050 = 86,050/x
  3. Step 3: Cross multiply
    39,610x = 86,050 × 86,050
  4. Step 4: Simplify right side
    39,610x = 7,404,602,500
  5. Step 5: Solve for x
    x = 7,404,602,500/39,610
  6. Step 6: Final answer
    x = 186,937.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.