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Finding the Third Proportional to 34,148 and 74,470

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Solution

The third proportional to 34,148 and 74,470 is: 162,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,148 : 74,470 = 74,470 : x
  2. Step 2: Convert to fraction form
    34,148/74,470 = 74,470/x
  3. Step 3: Cross multiply
    34,148x = 74,470 × 74,470
  4. Step 4: Simplify right side
    34,148x = 5,545,780,900
  5. Step 5: Solve for x
    x = 5,545,780,900/34,148
  6. Step 6: Final answer
    x = 162,404.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.