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Finding the Third Proportional to 76,074 and 164,454

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Solution

The third proportional to 76,074 and 164,454 is: 355,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 164,454 = 164,454 : x
  2. Step 2: Convert to fraction form
    76,074/164,454 = 164,454/x
  3. Step 3: Cross multiply
    76,074x = 164,454 × 164,454
  4. Step 4: Simplify right side
    76,074x = 27,045,118,116
  5. Step 5: Solve for x
    x = 27,045,118,116/76,074
  6. Step 6: Final answer
    x = 355,510.66

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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.