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Finding the Third Proportional to 82,594.69 and 131,276.53

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Solution

The third proportional to 82,594.69 and 131,276.53 is: 208,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.69 : 131,276.53 = 131,276.53 : x
  2. Step 2: Convert to fraction form
    82,594.69/131,276.53 = 131,276.53/x
  3. Step 3: Cross multiply
    82,594.69x = 131,276.53 × 131,276.53
  4. Step 4: Simplify right side
    82,594.69x = 17,233,527,657.03
  5. Step 5: Solve for x
    x = 17,233,527,657.03/82,594.69
  6. Step 6: Final answer
    x = 208,651.77

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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.