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Finding the Third Proportional to 57,698 and 86,548

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Solution

The third proportional to 57,698 and 86,548 is: 129,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698 : 86,548 = 86,548 : x
  2. Step 2: Convert to fraction form
    57,698/86,548 = 86,548/x
  3. Step 3: Cross multiply
    57,698x = 86,548 × 86,548
  4. Step 4: Simplify right side
    57,698x = 7,490,556,304
  5. Step 5: Solve for x
    x = 7,490,556,304/57,698
  6. Step 6: Final answer
    x = 129,823.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.