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Finding the Third Proportional to 105,264 and 158,988

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Solution

The third proportional to 105,264 and 158,988 is: 240,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,264 : 158,988 = 158,988 : x
  2. Step 2: Convert to fraction form
    105,264/158,988 = 158,988/x
  3. Step 3: Cross multiply
    105,264x = 158,988 × 158,988
  4. Step 4: Simplify right side
    105,264x = 25,277,184,144
  5. Step 5: Solve for x
    x = 25,277,184,144/105,264
  6. Step 6: Final answer
    x = 240,131.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.