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Finding the Third Proportional to 34,142 and 74,537

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Solution

The third proportional to 34,142 and 74,537 is: 162,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142 : 74,537 = 74,537 : x
  2. Step 2: Convert to fraction form
    34,142/74,537 = 74,537/x
  3. Step 3: Cross multiply
    34,142x = 74,537 × 74,537
  4. Step 4: Simplify right side
    34,142x = 5,555,764,369
  5. Step 5: Solve for x
    x = 5,555,764,369/34,142
  6. Step 6: Final answer
    x = 162,725.22

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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.