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Finding the Third Proportional to 100,164 and 155,988

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Solution

The third proportional to 100,164 and 155,988 is: 242,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164 : 155,988 = 155,988 : x
  2. Step 2: Convert to fraction form
    100,164/155,988 = 155,988/x
  3. Step 3: Cross multiply
    100,164x = 155,988 × 155,988
  4. Step 4: Simplify right side
    100,164x = 24,332,256,144
  5. Step 5: Solve for x
    x = 24,332,256,144/100,164
  6. Step 6: Final answer
    x = 242,924.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.