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Finding the Third Proportional to 86,038 and 185,913

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Solution

The third proportional to 86,038 and 185,913 is: 401,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 185,913 = 185,913 : x
  2. Step 2: Convert to fraction form
    86,038/185,913 = 185,913/x
  3. Step 3: Cross multiply
    86,038x = 185,913 × 185,913
  4. Step 4: Simplify right side
    86,038x = 34,563,643,569
  5. Step 5: Solve for x
    x = 34,563,643,569/86,038
  6. Step 6: Final answer
    x = 401,725.33

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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.