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Finding the Third Proportional to 76,106.46 and 164,278.76

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Solution

The third proportional to 76,106.46 and 164,278.76 is: 354,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.46 : 164,278.76 = 164,278.76 : x
  2. Step 2: Convert to fraction form
    76,106.46/164,278.76 = 164,278.76/x
  3. Step 3: Cross multiply
    76,106.46x = 164,278.76 × 164,278.76
  4. Step 4: Simplify right side
    76,106.46x = 26,987,510,268.42
  5. Step 5: Solve for x
    x = 26,987,510,268.42/76,106.46
  6. Step 6: Final answer
    x = 354,602.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.