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Finding the Third Proportional to 111,366.14 and 172,533.80

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Solution

The third proportional to 111,366.14 and 172,533.80 is: 267,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,366.14 : 172,533.80 = 172,533.80 : x
  2. Step 2: Convert to fraction form
    111,366.14/172,533.80 = 172,533.80/x
  3. Step 3: Cross multiply
    111,366.14x = 172,533.80 × 172,533.80
  4. Step 4: Simplify right side
    111,366.14x = 29,767,911,064.10
  5. Step 5: Solve for x
    x = 29,767,911,064.10/111,366.14
  6. Step 6: Final answer
    x = 267,297.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.