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Finding the Third Proportional to 39,877 and 86,303

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Solution

The third proportional to 39,877 and 86,303 is: 186,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,877 : 86,303 = 86,303 : x
  2. Step 2: Convert to fraction form
    39,877/86,303 = 86,303/x
  3. Step 3: Cross multiply
    39,877x = 86,303 × 86,303
  4. Step 4: Simplify right side
    39,877x = 7,448,207,809
  5. Step 5: Solve for x
    x = 7,448,207,809/39,877
  6. Step 6: Final answer
    x = 186,779.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.