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Finding the Third Proportional to 73,588 and 160,548

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Solution

The third proportional to 73,588 and 160,548 is: 350,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,588 : 160,548 = 160,548 : x
  2. Step 2: Convert to fraction form
    73,588/160,548 = 160,548/x
  3. Step 3: Cross multiply
    73,588x = 160,548 × 160,548
  4. Step 4: Simplify right side
    73,588x = 25,775,660,304
  5. Step 5: Solve for x
    x = 25,775,660,304/73,588
  6. Step 6: Final answer
    x = 350,269.89

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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.