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Finding the Third Proportional to 85,829.63 and 131,301

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Solution

The third proportional to 85,829.63 and 131,301 is: 200,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,829.63 : 131,301 = 131,301 : x
  2. Step 2: Convert to fraction form
    85,829.63/131,301 = 131,301/x
  3. Step 3: Cross multiply
    85,829.63x = 131,301 × 131,301
  4. Step 4: Simplify right side
    85,829.63x = 17,239,952,601
  5. Step 5: Solve for x
    x = 17,239,952,601/85,829.63
  6. Step 6: Final answer
    x = 200,862.49

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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.