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Finding the Third Proportional to 75,720 and 164,656

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Solution

The third proportional to 75,720 and 164,656 is: 358,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,720 : 164,656 = 164,656 : x
  2. Step 2: Convert to fraction form
    75,720/164,656 = 164,656/x
  3. Step 3: Cross multiply
    75,720x = 164,656 × 164,656
  4. Step 4: Simplify right side
    75,720x = 27,111,598,336
  5. Step 5: Solve for x
    x = 27,111,598,336/75,720
  6. Step 6: Final answer
    x = 358,050.69

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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.