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Finding the Third Proportional to 110,672 and 169,248

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Solution

The third proportional to 110,672 and 169,248 is: 258,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,672 : 169,248 = 169,248 : x
  2. Step 2: Convert to fraction form
    110,672/169,248 = 169,248/x
  3. Step 3: Cross multiply
    110,672x = 169,248 × 169,248
  4. Step 4: Simplify right side
    110,672x = 28,644,885,504
  5. Step 5: Solve for x
    x = 28,644,885,504/110,672
  6. Step 6: Final answer
    x = 258,826.85

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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.