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Finding the Third Proportional to 34,146 and 74,124

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Solution

The third proportional to 34,146 and 74,124 is: 160,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146 : 74,124 = 74,124 : x
  2. Step 2: Convert to fraction form
    34,146/74,124 = 74,124/x
  3. Step 3: Cross multiply
    34,146x = 74,124 × 74,124
  4. Step 4: Simplify right side
    34,146x = 5,494,367,376
  5. Step 5: Solve for x
    x = 5,494,367,376/34,146
  6. Step 6: Final answer
    x = 160,908.08

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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.