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Finding the Third Proportional to 34,116.44 and 74,060.38

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Solution

The third proportional to 34,116.44 and 74,060.38 is: 160,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.44 : 74,060.38 = 74,060.38 : x
  2. Step 2: Convert to fraction form
    34,116.44/74,060.38 = 74,060.38/x
  3. Step 3: Cross multiply
    34,116.44x = 74,060.38 × 74,060.38
  4. Step 4: Simplify right side
    34,116.44x = 5,484,939,145.14
  5. Step 5: Solve for x
    x = 5,484,939,145.14/34,116.44
  6. Step 6: Final answer
    x = 160,771.16

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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.