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Finding the Third Proportional to 32,097 and 77,319

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Solution

The third proportional to 32,097 and 77,319 is: 186,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097 : 77,319 = 77,319 : x
  2. Step 2: Convert to fraction form
    32,097/77,319 = 77,319/x
  3. Step 3: Cross multiply
    32,097x = 77,319 × 77,319
  4. Step 4: Simplify right side
    32,097x = 5,978,227,761
  5. Step 5: Solve for x
    x = 5,978,227,761/32,097
  6. Step 6: Final answer
    x = 186,255.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.