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Finding the Third Proportional to 112,408 and 169,354

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Solution

The third proportional to 112,408 and 169,354 is: 255,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,408 : 169,354 = 169,354 : x
  2. Step 2: Convert to fraction form
    112,408/169,354 = 169,354/x
  3. Step 3: Cross multiply
    112,408x = 169,354 × 169,354
  4. Step 4: Simplify right side
    112,408x = 28,680,777,316
  5. Step 5: Solve for x
    x = 28,680,777,316/112,408
  6. Step 6: Final answer
    x = 255,148.90

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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.