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Finding the Third Proportional to 34,541 and 71,539

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Solution

The third proportional to 34,541 and 71,539 is: 148,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,541 : 71,539 = 71,539 : x
  2. Step 2: Convert to fraction form
    34,541/71,539 = 71,539/x
  3. Step 3: Cross multiply
    34,541x = 71,539 × 71,539
  4. Step 4: Simplify right side
    34,541x = 5,117,828,521
  5. Step 5: Solve for x
    x = 5,117,828,521/34,541
  6. Step 6: Final answer
    x = 148,166.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.