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Finding the Third Proportional to 75,920 and 164,359

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Solution

The third proportional to 75,920 and 164,359 is: 355,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920 : 164,359 = 164,359 : x
  2. Step 2: Convert to fraction form
    75,920/164,359 = 164,359/x
  3. Step 3: Cross multiply
    75,920x = 164,359 × 164,359
  4. Step 4: Simplify right side
    75,920x = 27,013,880,881
  5. Step 5: Solve for x
    x = 27,013,880,881/75,920
  6. Step 6: Final answer
    x = 355,820.35

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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.