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Finding the Third Proportional to 113,798 and 172,269

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Solution

The third proportional to 113,798 and 172,269 is: 260,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,798 : 172,269 = 172,269 : x
  2. Step 2: Convert to fraction form
    113,798/172,269 = 172,269/x
  3. Step 3: Cross multiply
    113,798x = 172,269 × 172,269
  4. Step 4: Simplify right side
    113,798x = 29,676,608,361
  5. Step 5: Solve for x
    x = 29,676,608,361/113,798
  6. Step 6: Final answer
    x = 260,783.22

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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.