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Finding the Third Proportional to 75,476 and 164,076

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Solution

The third proportional to 75,476 and 164,076 is: 356,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,476 : 164,076 = 164,076 : x
  2. Step 2: Convert to fraction form
    75,476/164,076 = 164,076/x
  3. Step 3: Cross multiply
    75,476x = 164,076 × 164,076
  4. Step 4: Simplify right side
    75,476x = 26,920,933,776
  5. Step 5: Solve for x
    x = 26,920,933,776/75,476
  6. Step 6: Final answer
    x = 356,682.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.