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Finding the Third Proportional to 86,026 and 130,333

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Solution

The third proportional to 86,026 and 130,333 is: 197,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,026 : 130,333 = 130,333 : x
  2. Step 2: Convert to fraction form
    86,026/130,333 = 130,333/x
  3. Step 3: Cross multiply
    86,026x = 130,333 × 130,333
  4. Step 4: Simplify right side
    86,026x = 16,986,690,889
  5. Step 5: Solve for x
    x = 16,986,690,889/86,026
  6. Step 6: Final answer
    x = 197,459.96

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Why These Related Problems?

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