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Finding the Third Proportional to 140,029.50 and 209,130

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Solution

The third proportional to 140,029.50 and 209,130 is: 312,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,029.50 : 209,130 = 209,130 : x
  2. Step 2: Convert to fraction form
    140,029.50/209,130 = 209,130/x
  3. Step 3: Cross multiply
    140,029.50x = 209,130 × 209,130
  4. Step 4: Simplify right side
    140,029.50x = 43,735,356,900
  5. Step 5: Solve for x
    x = 43,735,356,900/140,029.50
  6. Step 6: Final answer
    x = 312,329.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.