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Finding the Third Proportional to 77,484 and 164,124

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Solution

The third proportional to 77,484 and 164,124 is: 347,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484 : 164,124 = 164,124 : x
  2. Step 2: Convert to fraction form
    77,484/164,124 = 164,124/x
  3. Step 3: Cross multiply
    77,484x = 164,124 × 164,124
  4. Step 4: Simplify right side
    77,484x = 26,936,687,376
  5. Step 5: Solve for x
    x = 26,936,687,376/77,484
  6. Step 6: Final answer
    x = 347,641.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.