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Finding the Third Proportional to 86,001 and 130,299

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Solution

The third proportional to 86,001 and 130,299 is: 197,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,001 : 130,299 = 130,299 : x
  2. Step 2: Convert to fraction form
    86,001/130,299 = 130,299/x
  3. Step 3: Cross multiply
    86,001x = 130,299 × 130,299
  4. Step 4: Simplify right side
    86,001x = 16,977,829,401
  5. Step 5: Solve for x
    x = 16,977,829,401/86,001
  6. Step 6: Final answer
    x = 197,414.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.