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Finding the Third Proportional to 34,147.50 and 74,127

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Solution

The third proportional to 34,147.50 and 74,127 is: 160,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147.50 : 74,127 = 74,127 : x
  2. Step 2: Convert to fraction form
    34,147.50/74,127 = 74,127/x
  3. Step 3: Cross multiply
    34,147.50x = 74,127 × 74,127
  4. Step 4: Simplify right side
    34,147.50x = 5,494,812,129
  5. Step 5: Solve for x
    x = 5,494,812,129/34,147.50
  6. Step 6: Final answer
    x = 160,914.04

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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.