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Finding the Third Proportional to 76,666.75 and 179,079.75

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Solution

The third proportional to 76,666.75 and 179,079.75 is: 418,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,666.75 : 179,079.75 = 179,079.75 : x
  2. Step 2: Convert to fraction form
    76,666.75/179,079.75 = 179,079.75/x
  3. Step 3: Cross multiply
    76,666.75x = 179,079.75 × 179,079.75
  4. Step 4: Simplify right side
    76,666.75x = 32,069,556,860.06
  5. Step 5: Solve for x
    x = 32,069,556,860.06/76,666.75
  6. Step 6: Final answer
    x = 418,298.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.