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Finding the Third Proportional to 112,451 and 169,000.50

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Solution

The third proportional to 112,451 and 169,000.50 is: 253,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,451 : 169,000.50 = 169,000.50 : x
  2. Step 2: Convert to fraction form
    112,451/169,000.50 = 169,000.50/x
  3. Step 3: Cross multiply
    112,451x = 169,000.50 × 169,000.50
  4. Step 4: Simplify right side
    112,451x = 28,561,169,000.25
  5. Step 5: Solve for x
    x = 28,561,169,000.25/112,451
  6. Step 6: Final answer
    x = 253,987.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.