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Finding the Third Proportional to 140,049 and 183,829.50

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Solution

The third proportional to 140,049 and 183,829.50 is: 241,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,049 : 183,829.50 = 183,829.50 : x
  2. Step 2: Convert to fraction form
    140,049/183,829.50 = 183,829.50/x
  3. Step 3: Cross multiply
    140,049x = 183,829.50 × 183,829.50
  4. Step 4: Simplify right side
    140,049x = 33,793,285,070.25
  5. Step 5: Solve for x
    x = 33,793,285,070.25/140,049
  6. Step 6: Final answer
    x = 241,296.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.