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Finding the Third Proportional to 102,967 and 153,544

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Solution

The third proportional to 102,967 and 153,544 is: 228,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,967 : 153,544 = 153,544 : x
  2. Step 2: Convert to fraction form
    102,967/153,544 = 153,544/x
  3. Step 3: Cross multiply
    102,967x = 153,544 × 153,544
  4. Step 4: Simplify right side
    102,967x = 23,575,759,936
  5. Step 5: Solve for x
    x = 23,575,759,936/102,967
  6. Step 6: Final answer
    x = 228,964.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.