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Finding the Third Proportional to 86,681 and 133,050

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Solution

The third proportional to 86,681 and 133,050 is: 204,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,681 : 133,050 = 133,050 : x
  2. Step 2: Convert to fraction form
    86,681/133,050 = 133,050/x
  3. Step 3: Cross multiply
    86,681x = 133,050 × 133,050
  4. Step 4: Simplify right side
    86,681x = 17,702,302,500
  5. Step 5: Solve for x
    x = 17,702,302,500/86,681
  6. Step 6: Final answer
    x = 204,223.56

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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.