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Finding the Third Proportional to 81,423 and 112,050

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Solution

The third proportional to 81,423 and 112,050 is: 154,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,423 : 112,050 = 112,050 : x
  2. Step 2: Convert to fraction form
    81,423/112,050 = 112,050/x
  3. Step 3: Cross multiply
    81,423x = 112,050 × 112,050
  4. Step 4: Simplify right side
    81,423x = 12,555,202,500
  5. Step 5: Solve for x
    x = 12,555,202,500/81,423
  6. Step 6: Final answer
    x = 154,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.