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Finding the Third Proportional to 73,454 and 158,569

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Solution

The third proportional to 73,454 and 158,569 is: 342,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,454 : 158,569 = 158,569 : x
  2. Step 2: Convert to fraction form
    73,454/158,569 = 158,569/x
  3. Step 3: Cross multiply
    73,454x = 158,569 × 158,569
  4. Step 4: Simplify right side
    73,454x = 25,144,127,761
  5. Step 5: Solve for x
    x = 25,144,127,761/73,454
  6. Step 6: Final answer
    x = 342,311.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.