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Finding the Third Proportional to 82,903.50 and 131,473.13

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Solution

The third proportional to 82,903.50 and 131,473.13 is: 208,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.50 : 131,473.13 = 131,473.13 : x
  2. Step 2: Convert to fraction form
    82,903.50/131,473.13 = 131,473.13/x
  3. Step 3: Cross multiply
    82,903.50x = 131,473.13 × 131,473.13
  4. Step 4: Simplify right side
    82,903.50x = 17,285,182,597.27
  5. Step 5: Solve for x
    x = 17,285,182,597.27/82,903.50
  6. Step 6: Final answer
    x = 208,497.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.