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Finding the Third Proportional to 34,102 and 74,971

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Solution

The third proportional to 34,102 and 74,971 is: 164,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102 : 74,971 = 74,971 : x
  2. Step 2: Convert to fraction form
    34,102/74,971 = 74,971/x
  3. Step 3: Cross multiply
    34,102x = 74,971 × 74,971
  4. Step 4: Simplify right side
    34,102x = 5,620,650,841
  5. Step 5: Solve for x
    x = 5,620,650,841/34,102
  6. Step 6: Final answer
    x = 164,818.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.