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Finding the Third Proportional to 105,096.38 and 167,307.75

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Solution

The third proportional to 105,096.38 and 167,307.75 is: 266,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,096.38 : 167,307.75 = 167,307.75 : x
  2. Step 2: Convert to fraction form
    105,096.38/167,307.75 = 167,307.75/x
  3. Step 3: Cross multiply
    105,096.38x = 167,307.75 × 167,307.75
  4. Step 4: Simplify right side
    105,096.38x = 27,991,883,210.06
  5. Step 5: Solve for x
    x = 27,991,883,210.06/105,096.38
  6. Step 6: Final answer
    x = 266,344.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.