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Finding the Third Proportional to 85,798 and 129,327

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Solution

The third proportional to 85,798 and 129,327 is: 194,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,798 : 129,327 = 129,327 : x
  2. Step 2: Convert to fraction form
    85,798/129,327 = 129,327/x
  3. Step 3: Cross multiply
    85,798x = 129,327 × 129,327
  4. Step 4: Simplify right side
    85,798x = 16,725,472,929
  5. Step 5: Solve for x
    x = 16,725,472,929/85,798
  6. Step 6: Final answer
    x = 194,940.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.