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Finding the Third Proportional to 83,653.50 and 119,245.50

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Solution

The third proportional to 83,653.50 and 119,245.50 is: 169,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,653.50 : 119,245.50 = 119,245.50 : x
  2. Step 2: Convert to fraction form
    83,653.50/119,245.50 = 119,245.50/x
  3. Step 3: Cross multiply
    83,653.50x = 119,245.50 × 119,245.50
  4. Step 4: Simplify right side
    83,653.50x = 14,219,489,270.25
  5. Step 5: Solve for x
    x = 14,219,489,270.25/83,653.50
  6. Step 6: Final answer
    x = 169,980.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.