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Finding the Third Proportional to 34,153.50 and 74,139

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Solution

The third proportional to 34,153.50 and 74,139 is: 160,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.50 : 74,139 = 74,139 : x
  2. Step 2: Convert to fraction form
    34,153.50/74,139 = 74,139/x
  3. Step 3: Cross multiply
    34,153.50x = 74,139 × 74,139
  4. Step 4: Simplify right side
    34,153.50x = 5,496,591,321
  5. Step 5: Solve for x
    x = 5,496,591,321/34,153.50
  6. Step 6: Final answer
    x = 160,937.86

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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.