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Finding the Third Proportional to 86,083 and 131,591

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Solution

The third proportional to 86,083 and 131,591 is: 201,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,083 : 131,591 = 131,591 : x
  2. Step 2: Convert to fraction form
    86,083/131,591 = 131,591/x
  3. Step 3: Cross multiply
    86,083x = 131,591 × 131,591
  4. Step 4: Simplify right side
    86,083x = 17,316,191,281
  5. Step 5: Solve for x
    x = 17,316,191,281/86,083
  6. Step 6: Final answer
    x = 201,156.92

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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.