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Finding the Third Proportional to 111,423 and 168,079.50

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Solution

The third proportional to 111,423 and 168,079.50 is: 253,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,423 : 168,079.50 = 168,079.50 : x
  2. Step 2: Convert to fraction form
    111,423/168,079.50 = 168,079.50/x
  3. Step 3: Cross multiply
    111,423x = 168,079.50 × 168,079.50
  4. Step 4: Simplify right side
    111,423x = 28,250,718,320.25
  5. Step 5: Solve for x
    x = 28,250,718,320.25/111,423
  6. Step 6: Final answer
    x = 253,544.76

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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.