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Finding the Third Proportional to 76,080.94 and 118,727.23

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Solution

The third proportional to 76,080.94 and 118,727.23 is: 185,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,080.94 : 118,727.23 = 118,727.23 : x
  2. Step 2: Convert to fraction form
    76,080.94/118,727.23 = 118,727.23/x
  3. Step 3: Cross multiply
    76,080.94x = 118,727.23 × 118,727.23
  4. Step 4: Simplify right side
    76,080.94x = 14,096,154,327.22
  5. Step 5: Solve for x
    x = 14,096,154,327.22/76,080.94
  6. Step 6: Final answer
    x = 185,278.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.