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Finding the Third Proportional to 77,148 and 160,452

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Solution

The third proportional to 77,148 and 160,452 is: 333,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148 : 160,452 = 160,452 : x
  2. Step 2: Convert to fraction form
    77,148/160,452 = 160,452/x
  3. Step 3: Cross multiply
    77,148x = 160,452 × 160,452
  4. Step 4: Simplify right side
    77,148x = 25,744,844,304
  5. Step 5: Solve for x
    x = 25,744,844,304/77,148
  6. Step 6: Final answer
    x = 333,707.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.