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Finding the Third Proportional to 76,484 and 164,039

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Solution

The third proportional to 76,484 and 164,039 is: 351,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484 : 164,039 = 164,039 : x
  2. Step 2: Convert to fraction form
    76,484/164,039 = 164,039/x
  3. Step 3: Cross multiply
    76,484x = 164,039 × 164,039
  4. Step 4: Simplify right side
    76,484x = 26,908,793,521
  5. Step 5: Solve for x
    x = 26,908,793,521/76,484
  6. Step 6: Final answer
    x = 351,822.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.