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Finding the Third Proportional to 86,306 and 132,467

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Solution

The third proportional to 86,306 and 132,467 is: 203,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,306 : 132,467 = 132,467 : x
  2. Step 2: Convert to fraction form
    86,306/132,467 = 132,467/x
  3. Step 3: Cross multiply
    86,306x = 132,467 × 132,467
  4. Step 4: Simplify right side
    86,306x = 17,547,506,089
  5. Step 5: Solve for x
    x = 17,547,506,089/86,306
  6. Step 6: Final answer
    x = 203,317.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.