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Finding the Third Proportional to 75,528 and 170,548

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Solution

The third proportional to 75,528 and 170,548 is: 385,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,528 : 170,548 = 170,548 : x
  2. Step 2: Convert to fraction form
    75,528/170,548 = 170,548/x
  3. Step 3: Cross multiply
    75,528x = 170,548 × 170,548
  4. Step 4: Simplify right side
    75,528x = 29,086,620,304
  5. Step 5: Solve for x
    x = 29,086,620,304/75,528
  6. Step 6: Final answer
    x = 385,110.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.