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Finding the Third Proportional to 34,110 and 74,987

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Solution

The third proportional to 34,110 and 74,987 is: 164,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110 : 74,987 = 74,987 : x
  2. Step 2: Convert to fraction form
    34,110/74,987 = 74,987/x
  3. Step 3: Cross multiply
    34,110x = 74,987 × 74,987
  4. Step 4: Simplify right side
    34,110x = 5,623,050,169
  5. Step 5: Solve for x
    x = 5,623,050,169/34,110
  6. Step 6: Final answer
    x = 164,850.49

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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.