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Finding the Third Proportional to 102,548 and 160,544

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Solution

The third proportional to 102,548 and 160,544 is: 251,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,548 : 160,544 = 160,544 : x
  2. Step 2: Convert to fraction form
    102,548/160,544 = 160,544/x
  3. Step 3: Cross multiply
    102,548x = 160,544 × 160,544
  4. Step 4: Simplify right side
    102,548x = 25,774,375,936
  5. Step 5: Solve for x
    x = 25,774,375,936/102,548
  6. Step 6: Final answer
    x = 251,339.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.