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Finding the Third Proportional to 75,480 and 164,060

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Solution

The third proportional to 75,480 and 164,060 is: 356,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,480 : 164,060 = 164,060 : x
  2. Step 2: Convert to fraction form
    75,480/164,060 = 164,060/x
  3. Step 3: Cross multiply
    75,480x = 164,060 × 164,060
  4. Step 4: Simplify right side
    75,480x = 26,915,683,600
  5. Step 5: Solve for x
    x = 26,915,683,600/75,480
  6. Step 6: Final answer
    x = 356,593.58

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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.