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Finding the Third Proportional to 118,163 and 181,624.50

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Solution

The third proportional to 118,163 and 181,624.50 is: 279,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,163 : 181,624.50 = 181,624.50 : x
  2. Step 2: Convert to fraction form
    118,163/181,624.50 = 181,624.50/x
  3. Step 3: Cross multiply
    118,163x = 181,624.50 × 181,624.50
  4. Step 4: Simplify right side
    118,163x = 32,987,459,000.25
  5. Step 5: Solve for x
    x = 32,987,459,000.25/118,163
  6. Step 6: Final answer
    x = 279,169.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.